5(x-4)+3x=120-4x

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Solution for 5(x-4)+3x=120-4x equation:


Simplifying
5(x + -4) + 3x = 120 + -4x

Reorder the terms:
5(-4 + x) + 3x = 120 + -4x
(-4 * 5 + x * 5) + 3x = 120 + -4x
(-20 + 5x) + 3x = 120 + -4x

Combine like terms: 5x + 3x = 8x
-20 + 8x = 120 + -4x

Solving
-20 + 8x = 120 + -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.
-20 + 8x + 4x = 120 + -4x + 4x

Combine like terms: 8x + 4x = 12x
-20 + 12x = 120 + -4x + 4x

Combine like terms: -4x + 4x = 0
-20 + 12x = 120 + 0
-20 + 12x = 120

Add '20' to each side of the equation.
-20 + 20 + 12x = 120 + 20

Combine like terms: -20 + 20 = 0
0 + 12x = 120 + 20
12x = 120 + 20

Combine like terms: 120 + 20 = 140
12x = 140

Divide each side by '12'.
x = 11.66666667

Simplifying
x = 11.66666667

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