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

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


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

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

Combine like terms: -5x + 7x = 2x
25 + 2x = 8x + -8

Reorder the terms:
25 + 2x = -8 + 8x

Solving
25 + 2x = -8 + 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.
25 + 2x + -8x = -8 + 8x + -8x

Combine like terms: 2x + -8x = -6x
25 + -6x = -8 + 8x + -8x

Combine like terms: 8x + -8x = 0
25 + -6x = -8 + 0
25 + -6x = -8

Add '-25' to each side of the equation.
25 + -25 + -6x = -8 + -25

Combine like terms: 25 + -25 = 0
0 + -6x = -8 + -25
-6x = -8 + -25

Combine like terms: -8 + -25 = -33
-6x = -33

Divide each side by '-6'.
x = 5.5

Simplifying
x = 5.5

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