-5(2x-5)=-8(x-5)+3x

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Solution for -5(2x-5)=-8(x-5)+3x equation:


Simplifying
-5(2x + -5) = -8(x + -5) + 3x

Reorder the terms:
-5(-5 + 2x) = -8(x + -5) + 3x
(-5 * -5 + 2x * -5) = -8(x + -5) + 3x
(25 + -10x) = -8(x + -5) + 3x

Reorder the terms:
25 + -10x = -8(-5 + x) + 3x
25 + -10x = (-5 * -8 + x * -8) + 3x
25 + -10x = (40 + -8x) + 3x

Combine like terms: -8x + 3x = -5x
25 + -10x = 40 + -5x

Solving
25 + -10x = 40 + -5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5x' to each side of the equation.
25 + -10x + 5x = 40 + -5x + 5x

Combine like terms: -10x + 5x = -5x
25 + -5x = 40 + -5x + 5x

Combine like terms: -5x + 5x = 0
25 + -5x = 40 + 0
25 + -5x = 40

Add '-25' to each side of the equation.
25 + -25 + -5x = 40 + -25

Combine like terms: 25 + -25 = 0
0 + -5x = 40 + -25
-5x = 40 + -25

Combine like terms: 40 + -25 = 15
-5x = 15

Divide each side by '-5'.
x = -3

Simplifying
x = -3

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