x + 5 = 2x + 8
Divide both sides by -3: b = 24/(-3) = -8
2
-2 -3x = 10 Add 2 to both sides: - 3x = 12 Divide both sides by -3: x = -4
3x - 4 = 17 3x = 21 (add 4 to both sides) x = 7 (divide both sides by 3)
This depends on the volume of the 40 percent solution you have. The question can be rewritten as: 40%a/(a+b) = 3% where a is the volume of the 40% solution, and b is the volume of water we need to add. Multiply both sides by (a+b) to get: 40%a = 3%a + 3%b Subtract 3%a from both sides to get 37%a = 3%b Divide by 3% to get: 12.3333...a = b Thus whatever the current volume is, you need to add 12.33333 times that volume in water in order to get a 3% solution.
If your equasion goes like this- 10x+3=15 the first you would subtract 3 from both sides -3 -3 10x=12 Now divide both sides by 10 so you get x by itself ---- ---- 10 10 x=1.2
The equation that has the solution x = -3, is, precisely:x = -3 If you want anything more fancy, you can add some number (the same number to both sides), multiply by some number (the same number to both sides), etc.
Divide both sides by -3: b = 24/(-3) = -8
2
-2 -3x = 10 Add 2 to both sides: - 3x = 12 Divide both sides by -3: x = -4
3x - 4 = 17 3x = 21 (add 4 to both sides) x = 7 (divide both sides by 3)
This depends on the volume of the 40 percent solution you have. The question can be rewritten as: 40%a/(a+b) = 3% where a is the volume of the 40% solution, and b is the volume of water we need to add. Multiply both sides by (a+b) to get: 40%a = 3%a + 3%b Subtract 3%a from both sides to get 37%a = 3%b Divide by 3% to get: 12.3333...a = b Thus whatever the current volume is, you need to add 12.33333 times that volume in water in order to get a 3% solution.
3x + 8 = 23 Subtract 8 from both sides: 3x = 15 Divide both sides by 3: x = 5
-2
For example if x3 = 27 then cube root both sides gives the solution of x = 3
For the equation 3x-5=8x-30, the first thing you do is subtract 3x from both sides of the equation, so you get -5=5x-30. Next you add 30 to both sides, getting 25=5x. Lastly, you divide both sides by 5, leaving the solution of 5=x. Should your equation be 3(x-5)=8x-30, you would first multiply x-5 by 3, getting 3x-15, creating the equation 3x-15=8x-30. You would then subtract 3x from both sides, betting -15=5x-30. Then add 30 to both sides, creating an equation of 15=5x. Divide both sides by 5, and you get a solution of 3-x.
5a - 5 = 7 + 2a ( subtract 2a from both sides) 3a - 5 = 7 (add 5 to both sides) 3a = 12 ( divide both sides by 3) a = 4