5(x+1)=7-2(5x+8)

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Solution for 5(x+1)=7-2(5x+8) equation:


Simplifying
5(x + 1) = 7 + -2(5x + 8)

Reorder the terms:
5(1 + x) = 7 + -2(5x + 8)
(1 * 5 + x * 5) = 7 + -2(5x + 8)
(5 + 5x) = 7 + -2(5x + 8)

Reorder the terms:
5 + 5x = 7 + -2(8 + 5x)
5 + 5x = 7 + (8 * -2 + 5x * -2)
5 + 5x = 7 + (-16 + -10x)

Combine like terms: 7 + -16 = -9
5 + 5x = -9 + -10x

Solving
5 + 5x = -9 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
5 + 5x + 10x = -9 + -10x + 10x

Combine like terms: 5x + 10x = 15x
5 + 15x = -9 + -10x + 10x

Combine like terms: -10x + 10x = 0
5 + 15x = -9 + 0
5 + 15x = -9

Add '-5' to each side of the equation.
5 + -5 + 15x = -9 + -5

Combine like terms: 5 + -5 = 0
0 + 15x = -9 + -5
15x = -9 + -5

Combine like terms: -9 + -5 = -14
15x = -14

Divide each side by '15'.
x = -0.9333333333

Simplifying
x = -0.9333333333

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