2(x+3)-4(x-2)=2

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Solution for 2(x+3)-4(x-2)=2 equation: 


Simplifying
2(x + 3) + -4(x + -2) = 2

Reorder the terms:
2(3 + x) + -4(x + -2) = 2
(3 * 2 + x * 2) + -4(x + -2) = 2
(6 + 2x) + -4(x + -2) = 2

Reorder the terms:
6 + 2x + -4(-2 + x) = 2
6 + 2x + (-2 * -4 + x * -4) = 2
6 + 2x + (8 + -4x) = 2

Reorder the terms:
6 + 8 + 2x + -4x = 2

Combine like terms: 6 + 8 = 14
14 + 2x + -4x = 2

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

Solving
14 + -2x = 2

Solving for variable 'x'.

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

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

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

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

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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