6x+3=2x-6

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


Simplifying
6x + 3 = 2x + -6

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

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

Solving
3 + 6x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
3 + 6x + -2x = -6 + 2x + -2x

Combine like terms: 6x + -2x = 4x
3 + 4x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + 4x = -6 + 0
3 + 4x = -6

Add '-3' to each side of the equation.
3 + -3 + 4x = -6 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = -6 + -3
4x = -6 + -3

Combine like terms: -6 + -3 = -9
4x = -9

Divide each side by '4'.
x = -2.25

Simplifying
x = -2.25

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