In any equation, regardless of the number adding or subtracting, multiplying or dividing, you must do the same to both sides. This ensures you are not changing the equation. If only one side was done, then the original equation has been altered and is no longer the same as it began. Changing both sides with the same values keeps all things equal.
6 + 2x = x - 6 Subtract x from both sides: 6 + x = -6 Subtract 6 from both sides: x = -12
7a + 6 = -36 Subtract 6 from both sides: 7a = -42 Divide both sides by 7: a = -6 a = -6
5x + 2 = x + 6 Subtract x from both sides: 4x + 2 = 6 Subtract 2 from both sides: 4x = 4 Divide both sides by 4: x = 1
12 = 2x + 6 subtract 6 from both sides 6 = 2x divide both sides by 2 3 = x
2x + 6 = 9 (subtract 6 from both sides) 2x = 3 (divide both sides by two)x = 1.5
6 + 2x = x - 6 Subtract x from both sides: 6 + x = -6 Subtract 6 from both sides: x = -12
7a + 6 = -36 Subtract 6 from both sides: 7a = -42 Divide both sides by 7: a = -6 a = -6
5x + 2 = x + 6 Subtract x from both sides: 4x + 2 = 6 Subtract 2 from both sides: 4x = 4 Divide both sides by 4: x = 1
You need to solve for a by getting it by itself. You do this by performing the same operation on both sides of the equation 3a + 2 = a -6 subtract 2 from both sides: 3a = a -8 subtract a from both sides: 2a = -8 divide both sides by 2: a = -4
9r = 3r + 6 subtract 3r from both sides 6r = 6 divide both sides by 6 r=1 ■
12 = 2x + 6 subtract 6 from both sides 6 = 2x divide both sides by 2 3 = x
2x + 6 = 9 (subtract 6 from both sides) 2x = 3 (divide both sides by two)x = 1.5
16 + 2x = 10 + 8x Subtract 2x from both sides: 16 = 10 + 6x Subtract 10 from both sides: 6 = 6x Divide both sides by 6: 1 = x
10x+3 < 9x-6 (subtract 9x from both sides to give..) if and only if x+3 < -6 (subtract 3 from both sides to give ..) if and only if x < -9
-5
4x + 6 = 34 Subtract 6 from both sides: 4x = 28 Divide both sides by 4: x = 7
x=-1First, subtract 6 from both sides of the equation:8x+9=5x+6-6 -68x+3=5x Then subtract 8x from both sides of the equation:-8x -8x3=-3x Then divide both sides by -3/-3 /-3so-1=x