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

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


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

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

Reorder the terms:
25 + -5x = -2(-8 + x)
25 + -5x = (-8 * -2 + x * -2)
25 + -5x = (16 + -2x)

Solving
25 + -5x = 16 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
25 + -5x + 2x = 16 + -2x + 2x

Combine like terms: -5x + 2x = -3x
25 + -3x = 16 + -2x + 2x

Combine like terms: -2x + 2x = 0
25 + -3x = 16 + 0
25 + -3x = 16

Add '-25' to each side of the equation.
25 + -25 + -3x = 16 + -25

Combine like terms: 25 + -25 = 0
0 + -3x = 16 + -25
-3x = 16 + -25

Combine like terms: 16 + -25 = -9
-3x = -9

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

Simplifying
x = 3

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