5x-10=-8(x-85)

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Solution for 5x-10=-8(x-85) equation:


Simplifying
5x + -10 = -8(x + -85)

Reorder the terms:
-10 + 5x = -8(x + -85)

Reorder the terms:
-10 + 5x = -8(-85 + x)
-10 + 5x = (-85 * -8 + x * -8)
-10 + 5x = (680 + -8x)

Solving
-10 + 5x = 680 + -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 = 680 + -8x + 8x

Combine like terms: 5x + 8x = 13x
-10 + 13x = 680 + -8x + 8x

Combine like terms: -8x + 8x = 0
-10 + 13x = 680 + 0
-10 + 13x = 680

Add '10' to each side of the equation.
-10 + 10 + 13x = 680 + 10

Combine like terms: -10 + 10 = 0
0 + 13x = 680 + 10
13x = 680 + 10

Combine like terms: 680 + 10 = 690
13x = 690

Divide each side by '13'.
x = 53.07692308

Simplifying
x = 53.07692308

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