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

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


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

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

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

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

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

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

Solving
7 + -1x = -1

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + -1x = -1 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = -1 + -7
-1x = -1 + -7

Combine like terms: -1 + -7 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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