4(3x-3)-2=4(x-4)+55

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Solution for 4(3x-3)-2=4(x-4)+55 equation:


Simplifying
4(3x + -3) + -2 = 4(x + -4) + 55

Reorder the terms:
4(-3 + 3x) + -2 = 4(x + -4) + 55
(-3 * 4 + 3x * 4) + -2 = 4(x + -4) + 55
(-12 + 12x) + -2 = 4(x + -4) + 55

Reorder the terms:
-12 + -2 + 12x = 4(x + -4) + 55

Combine like terms: -12 + -2 = -14
-14 + 12x = 4(x + -4) + 55

Reorder the terms:
-14 + 12x = 4(-4 + x) + 55
-14 + 12x = (-4 * 4 + x * 4) + 55
-14 + 12x = (-16 + 4x) + 55

Reorder the terms:
-14 + 12x = -16 + 55 + 4x

Combine like terms: -16 + 55 = 39
-14 + 12x = 39 + 4x

Solving
-14 + 12x = 39 + 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.
-14 + 12x + -4x = 39 + 4x + -4x

Combine like terms: 12x + -4x = 8x
-14 + 8x = 39 + 4x + -4x

Combine like terms: 4x + -4x = 0
-14 + 8x = 39 + 0
-14 + 8x = 39

Add '14' to each side of the equation.
-14 + 14 + 8x = 39 + 14

Combine like terms: -14 + 14 = 0
0 + 8x = 39 + 14
8x = 39 + 14

Combine like terms: 39 + 14 = 53
8x = 53

Divide each side by '8'.
x = 6.625

Simplifying
x = 6.625

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