5(x+1)-2(x-1)=12

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Solution for 5(x+1)-2(x-1)=12 equation: 


Simplifying
5(x + 1) + -2(x + -1) = 12

Reorder the terms:
5(1 + x) + -2(x + -1) = 12
(1 * 5 + x * 5) + -2(x + -1) = 12
(5 + 5x) + -2(x + -1) = 12

Reorder the terms:
5 + 5x + -2(-1 + x) = 12
5 + 5x + (-1 * -2 + x * -2) = 12
5 + 5x + (2 + -2x) = 12

Reorder the terms:
5 + 2 + 5x + -2x = 12

Combine like terms: 5 + 2 = 7
7 + 5x + -2x = 12

Combine like terms: 5x + -2x = 3x
7 + 3x = 12

Solving
7 + 3x = 12

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 3x = 12 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 12 + -7
3x = 12 + -7

Combine like terms: 12 + -7 = 5
3x = 5

Divide each side by '3'.
x = 1.666666667

Simplifying
x = 1.666666667

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