2(4-x)=6+x-7

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Solution for 2(4-x)=6+x-7 equation: 


Simplifying
2(4 + -1x) = 6 + x + -7
(4 * 2 + -1x * 2) = 6 + x + -7
(8 + -2x) = 6 + x + -7

Reorder the terms:
8 + -2x = 6 + -7 + x

Combine like terms: 6 + -7 = -1
8 + -2x = -1 + x

Solving
8 + -2x = -1 + 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.
8 + -2x + -1x = -1 + x + -1x

Combine like terms: -2x + -1x = -3x
8 + -3x = -1 + x + -1x

Combine like terms: x + -1x = 0
8 + -3x = -1 + 0
8 + -3x = -1

Add '-8' to each side of the equation.
8 + -8 + -3x = -1 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = -1 + -8
-3x = -1 + -8

Combine like terms: -1 + -8 = -9
-3x = -9

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

Simplifying
x = 3

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