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

Reorder the terms:
-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 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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