5-(8-2x)+2(x-1)=x+7

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Solution for 5-(8-2x)+2(x-1)=x+7 equation:


Simplifying
5 + -1(8 + -2x) + 2(x + -1) = x + 7
5 + (8 * -1 + -2x * -1) + 2(x + -1) = x + 7
5 + (-8 + 2x) + 2(x + -1) = x + 7

Reorder the terms:
5 + -8 + 2x + 2(-1 + x) = x + 7
5 + -8 + 2x + (-1 * 2 + x * 2) = x + 7
5 + -8 + 2x + (-2 + 2x) = x + 7

Reorder the terms:
5 + -8 + -2 + 2x + 2x = x + 7

Combine like terms: 5 + -8 = -3
-3 + -2 + 2x + 2x = x + 7

Combine like terms: -3 + -2 = -5
-5 + 2x + 2x = x + 7

Combine like terms: 2x + 2x = 4x
-5 + 4x = x + 7

Reorder the terms:
-5 + 4x = 7 + x

Solving
-5 + 4x = 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.
-5 + 4x + -1x = 7 + x + -1x

Combine like terms: 4x + -1x = 3x
-5 + 3x = 7 + x + -1x

Combine like terms: x + -1x = 0
-5 + 3x = 7 + 0
-5 + 3x = 7

Add '5' to each side of the equation.
-5 + 5 + 3x = 7 + 5

Combine like terms: -5 + 5 = 0
0 + 3x = 7 + 5
3x = 7 + 5

Combine like terms: 7 + 5 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4

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