2(x-1)+3x=6x-20

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Solution for 2(x-1)+3x=6x-20 equation:


Simplifying
2(x + -1) + 3x = 6x + -20

Reorder the terms:
2(-1 + x) + 3x = 6x + -20
(-1 * 2 + x * 2) + 3x = 6x + -20
(-2 + 2x) + 3x = 6x + -20

Combine like terms: 2x + 3x = 5x
-2 + 5x = 6x + -20

Reorder the terms:
-2 + 5x = -20 + 6x

Solving
-2 + 5x = -20 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-2 + 5x + -6x = -20 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-2 + -1x = -20 + 6x + -6x

Combine like terms: 6x + -6x = 0
-2 + -1x = -20 + 0
-2 + -1x = -20

Add '2' to each side of the equation.
-2 + 2 + -1x = -20 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = -20 + 2
-1x = -20 + 2

Combine like terms: -20 + 2 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18

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