5(20-x)=3x-6

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Solution for 5(20-x)=3x-6 equation:


Simplifying
5(20 + -1x) = 3x + -6
(20 * 5 + -1x * 5) = 3x + -6
(100 + -5x) = 3x + -6

Reorder the terms:
100 + -5x = -6 + 3x

Solving
100 + -5x = -6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
100 + -5x + -3x = -6 + 3x + -3x

Combine like terms: -5x + -3x = -8x
100 + -8x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
100 + -8x = -6 + 0
100 + -8x = -6

Add '-100' to each side of the equation.
100 + -100 + -8x = -6 + -100

Combine like terms: 100 + -100 = 0
0 + -8x = -6 + -100
-8x = -6 + -100

Combine like terms: -6 + -100 = -106
-8x = -106

Divide each side by '-8'.
x = 13.25

Simplifying
x = 13.25

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