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

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


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

Reorder the terms:
4(-3 + 2x) + -4x + 2 = x + 20
(-3 * 4 + 2x * 4) + -4x + 2 = x + 20
(-12 + 8x) + -4x + 2 = x + 20

Reorder the terms:
-12 + 2 + 8x + -4x = x + 20

Combine like terms: -12 + 2 = -10
-10 + 8x + -4x = x + 20

Combine like terms: 8x + -4x = 4x
-10 + 4x = x + 20

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

Solving
-10 + 4x = 20 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-10 + 4x + -1x = 20 + x + -1x

Combine like terms: 4x + -1x = 3x
-10 + 3x = 20 + x + -1x

Combine like terms: x + -1x = 0
-10 + 3x = 20 + 0
-10 + 3x = 20

Add '10' to each side of the equation.
-10 + 10 + 3x = 20 + 10

Combine like terms: -10 + 10 = 0
0 + 3x = 20 + 10
3x = 20 + 10

Combine like terms: 20 + 10 = 30
3x = 30

Divide each side by '3'.
x = 10

Simplifying
x = 10

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