13-(x+5)=4x-7

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Solution for 13-(x+5)=4x-7 equation:


Simplifying
13 + -1(x + 5) = 4x + -7

Reorder the terms:
13 + -1(5 + x) = 4x + -7
13 + (5 * -1 + x * -1) = 4x + -7
13 + (-5 + -1x) = 4x + -7

Combine like terms: 13 + -5 = 8
8 + -1x = 4x + -7

Reorder the terms:
8 + -1x = -7 + 4x

Solving
8 + -1x = -7 + 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.
8 + -1x + -4x = -7 + 4x + -4x

Combine like terms: -1x + -4x = -5x
8 + -5x = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
8 + -5x = -7 + 0
8 + -5x = -7

Add '-8' to each side of the equation.
8 + -8 + -5x = -7 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = -7 + -8
-5x = -7 + -8

Combine like terms: -7 + -8 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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