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

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Solution for 4(x+5)-7=(x-8) equation:


Simplifying
4(x + 5) + -7 = (x + -8)

Reorder the terms:
4(5 + x) + -7 = (x + -8)
(5 * 4 + x * 4) + -7 = (x + -8)
(20 + 4x) + -7 = (x + -8)

Reorder the terms:
20 + -7 + 4x = (x + -8)

Combine like terms: 20 + -7 = 13
13 + 4x = (x + -8)

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

Remove parenthesis around (-8 + x)
13 + 4x = -8 + x

Solving
13 + 4x = -8 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
13 + 4x + -1x = -8 + x + -1x

Combine like terms: 4x + -1x = 3x
13 + 3x = -8 + x + -1x

Combine like terms: x + -1x = 0
13 + 3x = -8 + 0
13 + 3x = -8

Add '-13' to each side of the equation.
13 + -13 + 3x = -8 + -13

Combine like terms: 13 + -13 = 0
0 + 3x = -8 + -13
3x = -8 + -13

Combine like terms: -8 + -13 = -21
3x = -21

Divide each side by '3'.
x = -7

Simplifying
x = -7

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