5(x-2)=-8x-36

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Solution for 5(x-2)=-8x-36 equation:


Simplifying
5(x + -2) = -8x + -36

Reorder the terms:
5(-2 + x) = -8x + -36
(-2 * 5 + x * 5) = -8x + -36
(-10 + 5x) = -8x + -36

Reorder the terms:
-10 + 5x = -36 + -8x

Solving
-10 + 5x = -36 + -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 = -36 + -8x + 8x

Combine like terms: 5x + 8x = 13x
-10 + 13x = -36 + -8x + 8x

Combine like terms: -8x + 8x = 0
-10 + 13x = -36 + 0
-10 + 13x = -36

Add '10' to each side of the equation.
-10 + 10 + 13x = -36 + 10

Combine like terms: -10 + 10 = 0
0 + 13x = -36 + 10
13x = -36 + 10

Combine like terms: -36 + 10 = -26
13x = -26

Divide each side by '13'.
x = -2

Simplifying
x = -2

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