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

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


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

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

Combine like terms: 3x + 2x = 5x
-12 + 5x = 3x + -20

Reorder the terms:
-12 + 5x = -20 + 3x

Solving
-12 + 5x = -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 + 5x + -3x = -20 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-12 + 2x = -20 + 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + 2x = -20 + 0
-12 + 2x = -20

Add '12' to each side of the equation.
-12 + 12 + 2x = -20 + 12

Combine like terms: -12 + 12 = 0
0 + 2x = -20 + 12
2x = -20 + 12

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

Divide each side by '2'.
x = -4

Simplifying
x = -4

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