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

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


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

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

Reorder the terms:
-6 + 6 + 2x + 3x = x + 6

Combine like terms: -6 + 6 = 0
0 + 2x + 3x = x + 6
2x + 3x = x + 6

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

Reorder the terms:
5x = 6 + x

Solving
5x = 6 + 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.
5x + -1x = 6 + x + -1x

Combine like terms: 5x + -1x = 4x
4x = 6 + x + -1x

Combine like terms: x + -1x = 0
4x = 6 + 0
4x = 6

Divide each side by '4'.
x = 1.5

Simplifying
x = 1.5

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