4(3x+5)-2(4x-1)=2x+20

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Solution for 4(3x+5)-2(4x-1)=2x+20 equation: 


Simplifying
4(3x + 5) + -2(4x + -1) = 2x + 20

Reorder the terms:
4(5 + 3x) + -2(4x + -1) = 2x + 20
(5 * 4 + 3x * 4) + -2(4x + -1) = 2x + 20
(20 + 12x) + -2(4x + -1) = 2x + 20

Reorder the terms:
20 + 12x + -2(-1 + 4x) = 2x + 20
20 + 12x + (-1 * -2 + 4x * -2) = 2x + 20
20 + 12x + (2 + -8x) = 2x + 20

Reorder the terms:
20 + 2 + 12x + -8x = 2x + 20

Combine like terms: 20 + 2 = 22
22 + 12x + -8x = 2x + 20

Combine like terms: 12x + -8x = 4x
22 + 4x = 2x + 20

Reorder the terms:
22 + 4x = 20 + 2x

Solving
22 + 4x = 20 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
22 + 4x + -2x = 20 + 2x + -2x

Combine like terms: 4x + -2x = 2x
22 + 2x = 20 + 2x + -2x

Combine like terms: 2x + -2x = 0
22 + 2x = 20 + 0
22 + 2x = 20

Add '-22' to each side of the equation.
22 + -22 + 2x = 20 + -22

Combine like terms: 22 + -22 = 0
0 + 2x = 20 + -22
2x = 20 + -22

Combine like terms: 20 + -22 = -2
2x = -2

Divide each side by '2'.
x = -1

Simplifying
x = -1

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