2(x+2)-4(x+3)=6

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Solution for 2(x+2)-4(x+3)=6 equation: 


Simplifying
2(x + 2) + -4(x + 3) = 6

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

Reorder the terms:
4 + 2x + -4(3 + x) = 6
4 + 2x + (3 * -4 + x * -4) = 6
4 + 2x + (-12 + -4x) = 6

Reorder the terms:
4 + -12 + 2x + -4x = 6

Combine like terms: 4 + -12 = -8
-8 + 2x + -4x = 6

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

Solving
-8 + -2x = 6

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + -2x = 6 + 8

Combine like terms: -8 + 8 = 0
0 + -2x = 6 + 8
-2x = 6 + 8

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

Divide each side by '-2'.
x = -7

Simplifying
x = -7

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