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

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


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

Reorder the terms:
3(-4 + 2x) + 5x = 3x + 20
(-4 * 3 + 2x * 3) + 5x = 3x + 20
(-12 + 6x) + 5x = 3x + 20

Combine like terms: 6x + 5x = 11x
-12 + 11x = 3x + 20

Reorder the terms:
-12 + 11x = 20 + 3x

Solving
-12 + 11x = 20 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-12 + 11x + -3x = 20 + 3x + -3x

Combine like terms: 11x + -3x = 8x
-12 + 8x = 20 + 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + 8x = 20 + 0
-12 + 8x = 20

Add '12' to each side of the equation.
-12 + 12 + 8x = 20 + 12

Combine like terms: -12 + 12 = 0
0 + 8x = 20 + 12
8x = 20 + 12

Combine like terms: 20 + 12 = 32
8x = 32

Divide each side by '8'.
x = 4

Simplifying
x = 4

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