2(x+1)+3(x-1)=14

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Solution for 2(x+1)+3(x-1)=14 equation: 


Simplifying
2(x + 1) + 3(x + -1) = 14

Reorder the terms:
2(1 + x) + 3(x + -1) = 14
(1 * 2 + x * 2) + 3(x + -1) = 14
(2 + 2x) + 3(x + -1) = 14

Reorder the terms:
2 + 2x + 3(-1 + x) = 14
2 + 2x + (-1 * 3 + x * 3) = 14
2 + 2x + (-3 + 3x) = 14

Reorder the terms:
2 + -3 + 2x + 3x = 14

Combine like terms: 2 + -3 = -1
-1 + 2x + 3x = 14

Combine like terms: 2x + 3x = 5x
-1 + 5x = 14

Solving
-1 + 5x = 14

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 5x = 14 + 1

Combine like terms: -1 + 1 = 0
0 + 5x = 14 + 1
5x = 14 + 1

Combine like terms: 14 + 1 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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