3(4x+1)-2(3x-4)=-7

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Solution for 3(4x+1)-2(3x-4)=-7 equation: 


Simplifying
3(4x + 1) + -2(3x + -4) = -7

Reorder the terms:
3(1 + 4x) + -2(3x + -4) = -7
(1 * 3 + 4x * 3) + -2(3x + -4) = -7
(3 + 12x) + -2(3x + -4) = -7

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

Reorder the terms:
3 + 8 + 12x + -6x = -7

Combine like terms: 3 + 8 = 11
11 + 12x + -6x = -7

Combine like terms: 12x + -6x = 6x
11 + 6x = -7

Solving
11 + 6x = -7

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + 6x = -7 + -11

Combine like terms: 11 + -11 = 0
0 + 6x = -7 + -11
6x = -7 + -11

Combine like terms: -7 + -11 = -18
6x = -18

Divide each side by '6'.
x = -3

Simplifying
x = -3

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