5(x-5)-6=-3(-9+7)-8x

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Solution for 5(x-5)-6=-3(-9+7)-8x equation:


Simplifying
5(x + -5) + -6 = -3(-9 + 7) + -8x

Reorder the terms:
5(-5 + x) + -6 = -3(-9 + 7) + -8x
(-5 * 5 + x * 5) + -6 = -3(-9 + 7) + -8x
(-25 + 5x) + -6 = -3(-9 + 7) + -8x

Reorder the terms:
-25 + -6 + 5x = -3(-9 + 7) + -8x

Combine like terms: -25 + -6 = -31
-31 + 5x = -3(-9 + 7) + -8x

Combine like terms: -9 + 7 = -2
-31 + 5x = -3(-2) + -8x

Multiply -3 * -2
-31 + 5x = 6 + -8x

Solving
-31 + 5x = 6 + -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.
-31 + 5x + 8x = 6 + -8x + 8x

Combine like terms: 5x + 8x = 13x
-31 + 13x = 6 + -8x + 8x

Combine like terms: -8x + 8x = 0
-31 + 13x = 6 + 0
-31 + 13x = 6

Add '31' to each side of the equation.
-31 + 31 + 13x = 6 + 31

Combine like terms: -31 + 31 = 0
0 + 13x = 6 + 31
13x = 6 + 31

Combine like terms: 6 + 31 = 37
13x = 37

Divide each side by '13'.
x = 2.846153846

Simplifying
x = 2.846153846

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