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

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Solution for 13-(x+5)=7x-8 equation:


Simplifying
13 + -1(x + 5) = 7x + -8

Reorder the terms:
13 + -1(5 + x) = 7x + -8
13 + (5 * -1 + x * -1) = 7x + -8
13 + (-5 + -1x) = 7x + -8

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

Reorder the terms:
8 + -1x = -8 + 7x

Solving
8 + -1x = -8 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
8 + -1x + -7x = -8 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
8 + -8x = -8 + 0
8 + -8x = -8

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

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

Combine like terms: -8 + -8 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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