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

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


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

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

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

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

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

Combine like terms: 6x + -2x = 4x
-11 + 4x = x + -3

Reorder the terms:
-11 + 4x = -3 + x

Solving
-11 + 4x = -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.
-11 + 4x + -1x = -3 + x + -1x

Combine like terms: 4x + -1x = 3x
-11 + 3x = -3 + x + -1x

Combine like terms: x + -1x = 0
-11 + 3x = -3 + 0
-11 + 3x = -3

Add '11' to each side of the equation.
-11 + 11 + 3x = -3 + 11

Combine like terms: -11 + 11 = 0
0 + 3x = -3 + 11
3x = -3 + 11

Combine like terms: -3 + 11 = 8
3x = 8

Divide each side by '3'.
x = 2.666666667

Simplifying
x = 2.666666667

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