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

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


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

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

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

Remove parenthesis around (2 + x)
-3 + 6x + 2 + x = x + -3

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

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

Combine like terms: 6x + x = 7x
-1 + 7x = x + -3

Reorder the terms:
-1 + 7x = -3 + x

Solving
-1 + 7x = -3 + 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.
-1 + 7x + -1x = -3 + x + -1x

Combine like terms: 7x + -1x = 6x
-1 + 6x = -3 + x + -1x

Combine like terms: x + -1x = 0
-1 + 6x = -3 + 0
-1 + 6x = -3

Add '1' to each side of the equation.
-1 + 1 + 6x = -3 + 1

Combine like terms: -1 + 1 = 0
0 + 6x = -3 + 1
6x = -3 + 1

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

Divide each side by '6'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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