10(x-1)=5x-5

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Solution for 10(x-1)=5x-5 equation:


Simplifying
10(x + -1) = 5x + -5

Reorder the terms:
10(-1 + x) = 5x + -5
(-1 * 10 + x * 10) = 5x + -5
(-10 + 10x) = 5x + -5

Reorder the terms:
-10 + 10x = -5 + 5x

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

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

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

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

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

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

Divide each side by '5'.
x = 1

Simplifying
x = 1

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