2(x-3)-3(x-1)=5

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Solution for 2(x-3)-3(x-1)=5 equation: 


Simplifying
2(x + -3) + -3(x + -1) = 5

Reorder the terms:
2(-3 + x) + -3(x + -1) = 5
(-3 * 2 + x * 2) + -3(x + -1) = 5
(-6 + 2x) + -3(x + -1) = 5

Reorder the terms:
-6 + 2x + -3(-1 + x) = 5
-6 + 2x + (-1 * -3 + x * -3) = 5
-6 + 2x + (3 + -3x) = 5

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

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

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

Solving
-3 + -1x = 5

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + -1x = 5 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 5 + 3
-1x = 5 + 3

Combine like terms: 5 + 3 = 8
-1x = 8

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

Simplifying
x = -8

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