5(4+x)=3(4x-1)-33

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Solution for 5(4+x)=3(4x-1)-33 equation: 


Simplifying
5(4 + x) = 3(4x + -1) + -33
(4 * 5 + x * 5) = 3(4x + -1) + -33
(20 + 5x) = 3(4x + -1) + -33

Reorder the terms:
20 + 5x = 3(-1 + 4x) + -33
20 + 5x = (-1 * 3 + 4x * 3) + -33
20 + 5x = (-3 + 12x) + -33

Reorder the terms:
20 + 5x = -3 + -33 + 12x

Combine like terms: -3 + -33 = -36
20 + 5x = -36 + 12x

Solving
20 + 5x = -36 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
20 + 5x + -12x = -36 + 12x + -12x

Combine like terms: 5x + -12x = -7x
20 + -7x = -36 + 12x + -12x

Combine like terms: 12x + -12x = 0
20 + -7x = -36 + 0
20 + -7x = -36

Add '-20' to each side of the equation.
20 + -20 + -7x = -36 + -20

Combine like terms: 20 + -20 = 0
0 + -7x = -36 + -20
-7x = -36 + -20

Combine like terms: -36 + -20 = -56
-7x = -56

Divide each side by '-7'.
x = 8

Simplifying
x = 8

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