5(x-1)-2x=10

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Solution for 5(x-1)-2x=10 equation: 


Simplifying
5(x + -1) + -2x = 10

Reorder the terms:
5(-1 + x) + -2x = 10
(-1 * 5 + x * 5) + -2x = 10
(-5 + 5x) + -2x = 10

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

Solving
-5 + 3x = 10

Solving for variable 'x'.

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

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 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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