6x-3x+6x+2=5x+3+7x-4

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Solution for 6x-3x+6x+2=5x+3+7x-4 equation:


Simplifying
6x + -3x + 6x + 2 = 5x + 3 + 7x + -4

Reorder the terms:
2 + 6x + -3x + 6x = 5x + 3 + 7x + -4

Combine like terms: 6x + -3x = 3x
2 + 3x + 6x = 5x + 3 + 7x + -4

Combine like terms: 3x + 6x = 9x
2 + 9x = 5x + 3 + 7x + -4

Reorder the terms:
2 + 9x = 3 + -4 + 5x + 7x

Combine like terms: 3 + -4 = -1
2 + 9x = -1 + 5x + 7x

Combine like terms: 5x + 7x = 12x
2 + 9x = -1 + 12x

Solving
2 + 9x = -1 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
2 + 9x + -12x = -1 + 12x + -12x

Combine like terms: 9x + -12x = -3x
2 + -3x = -1 + 12x + -12x

Combine like terms: 12x + -12x = 0
2 + -3x = -1 + 0
2 + -3x = -1

Add '-2' to each side of the equation.
2 + -2 + -3x = -1 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = -1 + -2
-3x = -1 + -2

Combine like terms: -1 + -2 = -3
-3x = -3

Divide each side by '-3'.
x = 1

Simplifying
x = 1

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