3(4-5x)=2(5x+20)+8

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Solution for 3(4-5x)=2(5x+20)+8 equation: 


Simplifying
3(4 + -5x) = 2(5x + 20) + 8
(4 * 3 + -5x * 3) = 2(5x + 20) + 8
(12 + -15x) = 2(5x + 20) + 8

Reorder the terms:
12 + -15x = 2(20 + 5x) + 8
12 + -15x = (20 * 2 + 5x * 2) + 8
12 + -15x = (40 + 10x) + 8

Reorder the terms:
12 + -15x = 40 + 8 + 10x

Combine like terms: 40 + 8 = 48
12 + -15x = 48 + 10x

Solving
12 + -15x = 48 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
12 + -15x + -10x = 48 + 10x + -10x

Combine like terms: -15x + -10x = -25x
12 + -25x = 48 + 10x + -10x

Combine like terms: 10x + -10x = 0
12 + -25x = 48 + 0
12 + -25x = 48

Add '-12' to each side of the equation.
12 + -12 + -25x = 48 + -12

Combine like terms: 12 + -12 = 0
0 + -25x = 48 + -12
-25x = 48 + -12

Combine like terms: 48 + -12 = 36
-25x = 36

Divide each side by '-25'.
x = -1.44

Simplifying
x = -1.44

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