6x+2-3(x-3)=x-1

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Solution for 6x+2-3(x-3)=x-1 equation: 


Simplifying
6x + 2 + -3(x + -3) = x + -1

Reorder the terms:
6x + 2 + -3(-3 + x) = x + -1
6x + 2 + (-3 * -3 + x * -3) = x + -1
6x + 2 + (9 + -3x) = x + -1

Reorder the terms:
2 + 9 + 6x + -3x = x + -1

Combine like terms: 2 + 9 = 11
11 + 6x + -3x = x + -1

Combine like terms: 6x + -3x = 3x
11 + 3x = x + -1

Reorder the terms:
11 + 3x = -1 + x

Solving
11 + 3x = -1 + 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.
11 + 3x + -1x = -1 + x + -1x

Combine like terms: 3x + -1x = 2x
11 + 2x = -1 + x + -1x

Combine like terms: x + -1x = 0
11 + 2x = -1 + 0
11 + 2x = -1

Add '-11' to each side of the equation.
11 + -11 + 2x = -1 + -11

Combine like terms: 11 + -11 = 0
0 + 2x = -1 + -11
2x = -1 + -11

Combine like terms: -1 + -11 = -12
2x = -12

Divide each side by '2'.
x = -6

Simplifying
x = -6

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