3(4x+1)-4(2x-4)=13

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Solution for 3(4x+1)-4(2x-4)=13 equation: 


Simplifying
3(4x + 1) + -4(2x + -4) = 13

Reorder the terms:
3(1 + 4x) + -4(2x + -4) = 13
(1 * 3 + 4x * 3) + -4(2x + -4) = 13
(3 + 12x) + -4(2x + -4) = 13

Reorder the terms:
3 + 12x + -4(-4 + 2x) = 13
3 + 12x + (-4 * -4 + 2x * -4) = 13
3 + 12x + (16 + -8x) = 13

Reorder the terms:
3 + 16 + 12x + -8x = 13

Combine like terms: 3 + 16 = 19
19 + 12x + -8x = 13

Combine like terms: 12x + -8x = 4x
19 + 4x = 13

Solving
19 + 4x = 13

Solving for variable 'x'.

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

Add '-19' to each side of the equation.
19 + -19 + 4x = 13 + -19

Combine like terms: 19 + -19 = 0
0 + 4x = 13 + -19
4x = 13 + -19

Combine like terms: 13 + -19 = -6
4x = -6

Divide each side by '4'.
x = -1.5

Simplifying
x = -1.5

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