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

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


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

Reorder the terms:
3(-8 + x) = 4(2x + 20)
(-8 * 3 + x * 3) = 4(2x + 20)
(-24 + 3x) = 4(2x + 20)

Reorder the terms:
-24 + 3x = 4(20 + 2x)
-24 + 3x = (20 * 4 + 2x * 4)
-24 + 3x = (80 + 8x)

Solving
-24 + 3x = 80 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-24 + 3x + -8x = 80 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-24 + -5x = 80 + 8x + -8x

Combine like terms: 8x + -8x = 0
-24 + -5x = 80 + 0
-24 + -5x = 80

Add '24' to each side of the equation.
-24 + 24 + -5x = 80 + 24

Combine like terms: -24 + 24 = 0
0 + -5x = 80 + 24
-5x = 80 + 24

Combine like terms: 80 + 24 = 104
-5x = 104

Divide each side by '-5'.
x = -20.8

Simplifying
x = -20.8

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