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

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


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

Reorder the terms:
8(4 + x) = -5(x + -5)
(4 * 8 + x * 8) = -5(x + -5)
(32 + 8x) = -5(x + -5)

Reorder the terms:
32 + 8x = -5(-5 + x)
32 + 8x = (-5 * -5 + x * -5)
32 + 8x = (25 + -5x)

Solving
32 + 8x = 25 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
32 + 8x + 5x = 25 + -5x + 5x

Combine like terms: 8x + 5x = 13x
32 + 13x = 25 + -5x + 5x

Combine like terms: -5x + 5x = 0
32 + 13x = 25 + 0
32 + 13x = 25

Add '-32' to each side of the equation.
32 + -32 + 13x = 25 + -32

Combine like terms: 32 + -32 = 0
0 + 13x = 25 + -32
13x = 25 + -32

Combine like terms: 25 + -32 = -7
13x = -7

Divide each side by '13'.
x = -0.5384615385

Simplifying
x = -0.5384615385

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