2(x-3)+3x=6x-8

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Solution for 2(x-3)+3x=6x-8 equation:


Simplifying
2(x + -3) + 3x = 6x + -8

Reorder the terms:
2(-3 + x) + 3x = 6x + -8
(-3 * 2 + x * 2) + 3x = 6x + -8
(-6 + 2x) + 3x = 6x + -8

Combine like terms: 2x + 3x = 5x
-6 + 5x = 6x + -8

Reorder the terms:
-6 + 5x = -8 + 6x

Solving
-6 + 5x = -8 + 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.
-6 + 5x + -6x = -8 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-6 + -1x = -8 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + -1x = -8 + 0
-6 + -1x = -8

Add '6' to each side of the equation.
-6 + 6 + -1x = -8 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = -8 + 6
-1x = -8 + 6

Combine like terms: -8 + 6 = -2
-1x = -2

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

Simplifying
x = 2

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