-5(x-5)=(10-2x)+10x

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Solution for -5(x-5)=(10-2x)+10x equation:


Simplifying
-5(x + -5) = (10 + -2x) + 10x

Reorder the terms:
-5(-5 + x) = (10 + -2x) + 10x
(-5 * -5 + x * -5) = (10 + -2x) + 10x
(25 + -5x) = (10 + -2x) + 10x

Remove parenthesis around (10 + -2x)
25 + -5x = 10 + -2x + 10x

Combine like terms: -2x + 10x = 8x
25 + -5x = 10 + 8x

Solving
25 + -5x = 10 + 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 + -5x + -8x = 10 + 8x + -8x

Combine like terms: -5x + -8x = -13x
25 + -13x = 10 + 8x + -8x

Combine like terms: 8x + -8x = 0
25 + -13x = 10 + 0
25 + -13x = 10

Add '-25' to each side of the equation.
25 + -25 + -13x = 10 + -25

Combine like terms: 25 + -25 = 0
0 + -13x = 10 + -25
-13x = 10 + -25

Combine like terms: 10 + -25 = -15
-13x = -15

Divide each side by '-13'.
x = 1.153846154

Simplifying
x = 1.153846154

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