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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.

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Q: Why do you subtract 6 from both sides?
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Related questions

What is the value of x in 6 plus 2x equals x - 6?

6 + 2x = x - 6 Subtract x from both sides: 6 + x = -6 Subtract 6 from both sides: x = -12


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7a + 6 = -36 Subtract 6 from both sides: 7a = -42 Divide both sides by 7: a = -6 a = -6


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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


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9r = 3r + 6 subtract 3r from both sides 6r = 6 divide both sides by 6 r=1 ■


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12 = 2x + 6 subtract 6 from both sides 6 = 2x divide both sides by 2 3 = x


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2x + 6 = 9 (subtract 6 from both sides) 2x = 3 (divide both sides by two)x = 1.5


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