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

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


Simplifying
4(3x + -4) + -3 = 4(x + -2) + 37

Reorder the terms:
4(-4 + 3x) + -3 = 4(x + -2) + 37
(-4 * 4 + 3x * 4) + -3 = 4(x + -2) + 37
(-16 + 12x) + -3 = 4(x + -2) + 37

Reorder the terms:
-16 + -3 + 12x = 4(x + -2) + 37

Combine like terms: -16 + -3 = -19
-19 + 12x = 4(x + -2) + 37

Reorder the terms:
-19 + 12x = 4(-2 + x) + 37
-19 + 12x = (-2 * 4 + x * 4) + 37
-19 + 12x = (-8 + 4x) + 37

Reorder the terms:
-19 + 12x = -8 + 37 + 4x

Combine like terms: -8 + 37 = 29
-19 + 12x = 29 + 4x

Solving
-19 + 12x = 29 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-19 + 12x + -4x = 29 + 4x + -4x

Combine like terms: 12x + -4x = 8x
-19 + 8x = 29 + 4x + -4x

Combine like terms: 4x + -4x = 0
-19 + 8x = 29 + 0
-19 + 8x = 29

Add '19' to each side of the equation.
-19 + 19 + 8x = 29 + 19

Combine like terms: -19 + 19 = 0
0 + 8x = 29 + 19
8x = 29 + 19

Combine like terms: 29 + 19 = 48
8x = 48

Divide each side by '8'.
x = 6

Simplifying
x = 6

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