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

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


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

Reorder the terms:
8(-5 + 3x) + -5(2x + -8) = 20 + 4x
(-5 * 8 + 3x * 8) + -5(2x + -8) = 20 + 4x
(-40 + 24x) + -5(2x + -8) = 20 + 4x

Reorder the terms:
-40 + 24x + -5(-8 + 2x) = 20 + 4x
-40 + 24x + (-8 * -5 + 2x * -5) = 20 + 4x
-40 + 24x + (40 + -10x) = 20 + 4x

Reorder the terms:
-40 + 40 + 24x + -10x = 20 + 4x

Combine like terms: -40 + 40 = 0
0 + 24x + -10x = 20 + 4x
24x + -10x = 20 + 4x

Combine like terms: 24x + -10x = 14x
14x = 20 + 4x

Solving
14x = 20 + 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.
14x + -4x = 20 + 4x + -4x

Combine like terms: 14x + -4x = 10x
10x = 20 + 4x + -4x

Combine like terms: 4x + -4x = 0
10x = 20 + 0
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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