2(10-x)=x-7

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Solution for 2(10-x)=x-7 equation:


Simplifying
2(10 + -1x) = x + -7
(10 * 2 + -1x * 2) = x + -7
(20 + -2x) = x + -7

Reorder the terms:
20 + -2x = -7 + x

Solving
20 + -2x = -7 + x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
20 + -2x + -1x = -7 + x + -1x

Combine like terms: -2x + -1x = -3x
20 + -3x = -7 + x + -1x

Combine like terms: x + -1x = 0
20 + -3x = -7 + 0
20 + -3x = -7

Add '-20' to each side of the equation.
20 + -20 + -3x = -7 + -20

Combine like terms: 20 + -20 = 0
0 + -3x = -7 + -20
-3x = -7 + -20

Combine like terms: -7 + -20 = -27
-3x = -27

Divide each side by '-3'.
x = 9

Simplifying
x = 9

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