6x+4=3x-6

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Solution for 6x+4=3x-6 equation:


Simplifying
6x + 4 = 3x + -6

Reorder the terms:
4 + 6x = 3x + -6

Reorder the terms:
4 + 6x = -6 + 3x

Solving
4 + 6x = -6 + 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.
4 + 6x + -3x = -6 + 3x + -3x

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

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

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

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

Combine like terms: -6 + -4 = -10
3x = -10

Divide each side by '3'.
x = -3.333333333

Simplifying
x = -3.333333333

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