2(6x+4)+3(-2x-4)=7

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Solution for 2(6x+4)+3(-2x-4)=7 equation: 


Simplifying
2(6x + 4) + 3(-2x + -4) = 7

Reorder the terms:
2(4 + 6x) + 3(-2x + -4) = 7
(4 * 2 + 6x * 2) + 3(-2x + -4) = 7
(8 + 12x) + 3(-2x + -4) = 7

Reorder the terms:
8 + 12x + 3(-4 + -2x) = 7
8 + 12x + (-4 * 3 + -2x * 3) = 7
8 + 12x + (-12 + -6x) = 7

Reorder the terms:
8 + -12 + 12x + -6x = 7

Combine like terms: 8 + -12 = -4
-4 + 12x + -6x = 7

Combine like terms: 12x + -6x = 6x
-4 + 6x = 7

Solving
-4 + 6x = 7

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 6x = 7 + 4

Combine like terms: -4 + 4 = 0
0 + 6x = 7 + 4
6x = 7 + 4

Combine like terms: 7 + 4 = 11
6x = 11

Divide each side by '6'.
x = 1.833333333

Simplifying
x = 1.833333333

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