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

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


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

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

Reorder the terms:
20 + 4x = -3 + -33 + 12x

Combine like terms: -3 + -33 = -36
20 + 4x = -36 + 12x

Solving
20 + 4x = -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 + 4x + -12x = -36 + 12x + -12x

Combine like terms: 4x + -12x = -8x
20 + -8x = -36 + 12x + -12x

Combine like terms: 12x + -12x = 0
20 + -8x = -36 + 0
20 + -8x = -36

Add '-20' to each side of the equation.
20 + -20 + -8x = -36 + -20

Combine like terms: 20 + -20 = 0
0 + -8x = -36 + -20
-8x = -36 + -20

Combine like terms: -36 + -20 = -56
-8x = -56

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

Simplifying
x = 7

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