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

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


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

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

Combine like terms: 2x + -1x = 1x
7 + 1x = 5 + -1(x + -8)

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

Combine like terms: 5 + 8 = 13
7 + 1x = 13 + -1x

Solving
7 + 1x = 13 + -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.
7 + 1x + x = 13 + -1x + x

Combine like terms: 1x + x = 2x
7 + 2x = 13 + -1x + x

Combine like terms: -1x + x = 0
7 + 2x = 13 + 0
7 + 2x = 13

Add '-7' to each side of the equation.
7 + -7 + 2x = 13 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 13 + -7
2x = 13 + -7

Combine like terms: 13 + -7 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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