113=7x-4(5x-12)

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Solution for 113=7x-4(5x-12) equation:


Simplifying
113 = 7x + -4(5x + -12)

Reorder the terms:
113 = 7x + -4(-12 + 5x)
113 = 7x + (-12 * -4 + 5x * -4)
113 = 7x + (48 + -20x)

Reorder the terms:
113 = 48 + 7x + -20x

Combine like terms: 7x + -20x = -13x
113 = 48 + -13x

Solving
113 = 48 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
113 + 13x = 48 + -13x + 13x

Combine like terms: -13x + 13x = 0
113 + 13x = 48 + 0
113 + 13x = 48

Add '-113' to each side of the equation.
113 + -113 + 13x = 48 + -113

Combine like terms: 113 + -113 = 0
0 + 13x = 48 + -113
13x = 48 + -113

Combine like terms: 48 + -113 = -65
13x = -65

Divide each side by '13'.
x = -5

Simplifying
x = -5

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