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

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


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

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

Combine like terms: 13 + -7 = 6
6 + -1x = 4x + -4

Reorder the terms:
6 + -1x = -4 + 4x

Solving
6 + -1x = -4 + 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.
6 + -1x + -4x = -4 + 4x + -4x

Combine like terms: -1x + -4x = -5x
6 + -5x = -4 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -5x = -4 + 0
6 + -5x = -4

Add '-6' to each side of the equation.
6 + -6 + -5x = -4 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = -4 + -6
-5x = -4 + -6

Combine like terms: -4 + -6 = -10
-5x = -10

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

Simplifying
x = 2

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