5(x+2)+13=-8(x+3)-8

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Solution for 5(x+2)+13=-8(x+3)-8 equation:


Simplifying
5(x + 2) + 13 = -8(x + 3) + -8

Reorder the terms:
5(2 + x) + 13 = -8(x + 3) + -8
(2 * 5 + x * 5) + 13 = -8(x + 3) + -8
(10 + 5x) + 13 = -8(x + 3) + -8

Reorder the terms:
10 + 13 + 5x = -8(x + 3) + -8

Combine like terms: 10 + 13 = 23
23 + 5x = -8(x + 3) + -8

Reorder the terms:
23 + 5x = -8(3 + x) + -8
23 + 5x = (3 * -8 + x * -8) + -8
23 + 5x = (-24 + -8x) + -8

Reorder the terms:
23 + 5x = -24 + -8 + -8x

Combine like terms: -24 + -8 = -32
23 + 5x = -32 + -8x

Solving
23 + 5x = -32 + -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.
23 + 5x + 8x = -32 + -8x + 8x

Combine like terms: 5x + 8x = 13x
23 + 13x = -32 + -8x + 8x

Combine like terms: -8x + 8x = 0
23 + 13x = -32 + 0
23 + 13x = -32

Add '-23' to each side of the equation.
23 + -23 + 13x = -32 + -23

Combine like terms: 23 + -23 = 0
0 + 13x = -32 + -23
13x = -32 + -23

Combine like terms: -32 + -23 = -55
13x = -55

Divide each side by '13'.
x = -4.230769231

Simplifying
x = -4.230769231

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