3(4-2x)-(8x+3)-4(3-2x)+x-14=-37

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Solution for 3(4-2x)-(8x+3)-4(3-2x)+x-14=-37 equation: 


Simplifying
3(4 + -2x) + -1(8x + 3) + -4(3 + -2x) + x + -14 = -37
(4 * 3 + -2x * 3) + -1(8x + 3) + -4(3 + -2x) + x + -14 = -37
(12 + -6x) + -1(8x + 3) + -4(3 + -2x) + x + -14 = -37

Reorder the terms:
12 + -6x + -1(3 + 8x) + -4(3 + -2x) + x + -14 = -37
12 + -6x + (3 * -1 + 8x * -1) + -4(3 + -2x) + x + -14 = -37
12 + -6x + (-3 + -8x) + -4(3 + -2x) + x + -14 = -37
12 + -6x + -3 + -8x + (3 * -4 + -2x * -4) + x + -14 = -37
12 + -6x + -3 + -8x + (-12 + 8x) + x + -14 = -37

Reorder the terms:
12 + -3 + -12 + -14 + -6x + -8x + 8x + x = -37

Combine like terms: 12 + -3 = 9
9 + -12 + -14 + -6x + -8x + 8x + x = -37

Combine like terms: 9 + -12 = -3
-3 + -14 + -6x + -8x + 8x + x = -37

Combine like terms: -3 + -14 = -17
-17 + -6x + -8x + 8x + x = -37

Combine like terms: -6x + -8x = -14x
-17 + -14x + 8x + x = -37

Combine like terms: -14x + 8x = -6x
-17 + -6x + x = -37

Combine like terms: -6x + x = -5x
-17 + -5x = -37

Solving
-17 + -5x = -37

Solving for variable 'x'.

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

Add '17' to each side of the equation.
-17 + 17 + -5x = -37 + 17

Combine like terms: -17 + 17 = 0
0 + -5x = -37 + 17
-5x = -37 + 17

Combine like terms: -37 + 17 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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