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

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


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

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

Reorder the terms:
-2 + 2x + -3(-5 + x) = 1
-2 + 2x + (-5 * -3 + x * -3) = 1
-2 + 2x + (15 + -3x) = 1

Reorder the terms:
-2 + 15 + 2x + -3x = 1

Combine like terms: -2 + 15 = 13
13 + 2x + -3x = 1

Combine like terms: 2x + -3x = -1x
13 + -1x = 1

Solving
13 + -1x = 1

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + -1x = 1 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 1 + -13
-1x = 1 + -13

Combine like terms: 1 + -13 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12

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