5(x+8)-20=-13-4(2x-5)

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Solution for 5(x+8)-20=-13-4(2x-5) equation:


Simplifying
5(x + 8) + -20 = -13 + -4(2x + -5)

Reorder the terms:
5(8 + x) + -20 = -13 + -4(2x + -5)
(8 * 5 + x * 5) + -20 = -13 + -4(2x + -5)
(40 + 5x) + -20 = -13 + -4(2x + -5)

Reorder the terms:
40 + -20 + 5x = -13 + -4(2x + -5)

Combine like terms: 40 + -20 = 20
20 + 5x = -13 + -4(2x + -5)

Reorder the terms:
20 + 5x = -13 + -4(-5 + 2x)
20 + 5x = -13 + (-5 * -4 + 2x * -4)
20 + 5x = -13 + (20 + -8x)

Combine like terms: -13 + 20 = 7
20 + 5x = 7 + -8x

Solving
20 + 5x = 7 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
20 + 5x + 8x = 7 + -8x + 8x

Combine like terms: 5x + 8x = 13x
20 + 13x = 7 + -8x + 8x

Combine like terms: -8x + 8x = 0
20 + 13x = 7 + 0
20 + 13x = 7

Add '-20' to each side of the equation.
20 + -20 + 13x = 7 + -20

Combine like terms: 20 + -20 = 0
0 + 13x = 7 + -20
13x = 7 + -20

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

Divide each side by '13'.
x = -1

Simplifying
x = -1

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