7-(2x-5)+x=2(x-2)

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Solution for 7-(2x-5)+x=2(x-2) equation: 


Simplifying
7 + -1(2x + -5) + x = 2(x + -2)

Reorder the terms:
7 + -1(-5 + 2x) + x = 2(x + -2)
7 + (-5 * -1 + 2x * -1) + x = 2(x + -2)
7 + (5 + -2x) + x = 2(x + -2)

Combine like terms: 7 + 5 = 12
12 + -2x + x = 2(x + -2)

Combine like terms: -2x + x = -1x
12 + -1x = 2(x + -2)

Reorder the terms:
12 + -1x = 2(-2 + x)
12 + -1x = (-2 * 2 + x * 2)
12 + -1x = (-4 + 2x)

Solving
12 + -1x = -4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
12 + -1x + -2x = -4 + 2x + -2x

Combine like terms: -1x + -2x = -3x
12 + -3x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + -3x = -4 + 0
12 + -3x = -4

Add '-12' to each side of the equation.
12 + -12 + -3x = -4 + -12

Combine like terms: 12 + -12 = 0
0 + -3x = -4 + -12
-3x = -4 + -12

Combine like terms: -4 + -12 = -16
-3x = -16

Divide each side by '-3'.
x = 5.333333333

Simplifying
x = 5.333333333

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