-2(x-2)+6=-x-7

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Solution for -2(x-2)+6=-x-7 equation:


Simplifying
-2(x + -2) + 6 = -1x + -7

Reorder the terms:
-2(-2 + x) + 6 = -1x + -7
(-2 * -2 + x * -2) + 6 = -1x + -7
(4 + -2x) + 6 = -1x + -7

Reorder the terms:
4 + 6 + -2x = -1x + -7

Combine like terms: 4 + 6 = 10
10 + -2x = -1x + -7

Reorder the terms:
10 + -2x = -7 + -1x

Solving
10 + -2x = -7 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
10 + -2x + x = -7 + -1x + x

Combine like terms: -2x + x = -1x
10 + -1x = -7 + -1x + x

Combine like terms: -1x + x = 0
10 + -1x = -7 + 0
10 + -1x = -7

Add '-10' to each side of the equation.
10 + -10 + -1x = -7 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = -7 + -10
-1x = -7 + -10

Combine like terms: -7 + -10 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17

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