5x-5=2(x-5)

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


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

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

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

Solving
-5 + 5x = -10 + 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.
-5 + 5x + -2x = -10 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-5 + 3x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-5 + 3x = -10 + 0
-5 + 3x = -10

Add '5' to each side of the equation.
-5 + 5 + 3x = -10 + 5

Combine like terms: -5 + 5 = 0
0 + 3x = -10 + 5
3x = -10 + 5

Combine like terms: -10 + 5 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667

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