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

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


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

Reorder the terms:
2(2 + x) + 2(x + -1) = 14
(2 * 2 + x * 2) + 2(x + -1) = 14
(4 + 2x) + 2(x + -1) = 14

Reorder the terms:
4 + 2x + 2(-1 + x) = 14
4 + 2x + (-1 * 2 + x * 2) = 14
4 + 2x + (-2 + 2x) = 14

Reorder the terms:
4 + -2 + 2x + 2x = 14

Combine like terms: 4 + -2 = 2
2 + 2x + 2x = 14

Combine like terms: 2x + 2x = 4x
2 + 4x = 14

Solving
2 + 4x = 14

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 4x = 14 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = 14 + -2
4x = 14 + -2

Combine like terms: 14 + -2 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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