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 = -4
15x = -4

Divide each side by '15'.
x = -0.2666666667

Simplifying
x = -0.2666666667

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