3(x-1)=10-2x

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Solution for 3(x-1)=10-2x equation: 


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

Reorder the terms:
3(-1 + x) = 10 + -2x
(-1 * 3 + x * 3) = 10 + -2x
(-3 + 3x) = 10 + -2x

Solving
-3 + 3x = 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.
-3 + 3x + 2x = 10 + -2x + 2x

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

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

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

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

Combine like terms: 10 + 3 = 13
5x = 13

Divide each side by '5'.
x = 2.6

Simplifying
x = 2.6

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