4(3x-2)-3=4(x-3)+33

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Solution for 4(3x-2)-3=4(x-3)+33 equation: 


Simplifying
4(3x + -2) + -3 = 4(x + -3) + 33

Reorder the terms:
4(-2 + 3x) + -3 = 4(x + -3) + 33
(-2 * 4 + 3x * 4) + -3 = 4(x + -3) + 33
(-8 + 12x) + -3 = 4(x + -3) + 33

Reorder the terms:
-8 + -3 + 12x = 4(x + -3) + 33

Combine like terms: -8 + -3 = -11
-11 + 12x = 4(x + -3) + 33

Reorder the terms:
-11 + 12x = 4(-3 + x) + 33
-11 + 12x = (-3 * 4 + x * 4) + 33
-11 + 12x = (-12 + 4x) + 33

Reorder the terms:
-11 + 12x = -12 + 33 + 4x

Combine like terms: -12 + 33 = 21
-11 + 12x = 21 + 4x

Solving
-11 + 12x = 21 + 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.
-11 + 12x + -4x = 21 + 4x + -4x

Combine like terms: 12x + -4x = 8x
-11 + 8x = 21 + 4x + -4x

Combine like terms: 4x + -4x = 0
-11 + 8x = 21 + 0
-11 + 8x = 21

Add '11' to each side of the equation.
-11 + 11 + 8x = 21 + 11

Combine like terms: -11 + 11 = 0
0 + 8x = 21 + 11
8x = 21 + 11

Combine like terms: 21 + 11 = 32
8x = 32

Divide each side by '8'.
x = 4

Simplifying
x = 4

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