13-(x+8)=4x-5

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Solution for 13-(x+8)=4x-5 equation:


Simplifying
13 + -1(x + 8) = 4x + -5

Reorder the terms:
13 + -1(8 + x) = 4x + -5
13 + (8 * -1 + x * -1) = 4x + -5
13 + (-8 + -1x) = 4x + -5

Combine like terms: 13 + -8 = 5
5 + -1x = 4x + -5

Reorder the terms:
5 + -1x = -5 + 4x

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

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
5 + -1x + -4x = -5 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
5 + -5x = -5 + 0
5 + -5x = -5

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

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

Combine like terms: -5 + -5 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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