2(x+3)-3(2x+4)=8-6x

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Solution for 2(x+3)-3(2x+4)=8-6x equation:


Simplifying
2(x + 3) + -3(2x + 4) = 8 + -6x

Reorder the terms:
2(3 + x) + -3(2x + 4) = 8 + -6x
(3 * 2 + x * 2) + -3(2x + 4) = 8 + -6x
(6 + 2x) + -3(2x + 4) = 8 + -6x

Reorder the terms:
6 + 2x + -3(4 + 2x) = 8 + -6x
6 + 2x + (4 * -3 + 2x * -3) = 8 + -6x
6 + 2x + (-12 + -6x) = 8 + -6x

Reorder the terms:
6 + -12 + 2x + -6x = 8 + -6x

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

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

Solving
-6 + -4x = 8 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-6 + -4x + 6x = 8 + -6x + 6x

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

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

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

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

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

Divide each side by '2'.
x = 7

Simplifying
x = 7

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