5*(x+2)=10-8*(x+6)

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Solution for 5*(x+2)=10-8*(x+6) equation: 


Simplifying
5(x + 2) = 10 + -8(x + 6)

Reorder the terms:
5(2 + x) = 10 + -8(x + 6)
(2 * 5 + x * 5) = 10 + -8(x + 6)
(10 + 5x) = 10 + -8(x + 6)

Reorder the terms:
10 + 5x = 10 + -8(6 + x)
10 + 5x = 10 + (6 * -8 + x * -8)
10 + 5x = 10 + (-48 + -8x)

Combine like terms: 10 + -48 = -38
10 + 5x = -38 + -8x

Solving
10 + 5x = -38 + -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.
10 + 5x + 8x = -38 + -8x + 8x

Combine like terms: 5x + 8x = 13x
10 + 13x = -38 + -8x + 8x

Combine like terms: -8x + 8x = 0
10 + 13x = -38 + 0
10 + 13x = -38

Add '-10' to each side of the equation.
10 + -10 + 13x = -38 + -10

Combine like terms: 10 + -10 = 0
0 + 13x = -38 + -10
13x = -38 + -10

Combine like terms: -38 + -10 = -48
13x = -48

Divide each side by '13'.
x = -3.692307692

Simplifying
x = -3.692307692

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