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

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


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

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

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

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

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-5 + 8x + -10x = -10 + 10x + -10x

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

Combine like terms: 10x + -10x = 0
-5 + -2x = -10 + 0
-5 + -2x = -10

Add '5' to each side of the equation.
-5 + 5 + -2x = -10 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = -10 + 5
-2x = -10 + 5

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

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5

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