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 + 2x = -15 + 1 + 3x

Combine like terms: -15 + 1 = -14
-2 + 2x = -14 + 3x

Solving
-2 + 2x = -14 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-2 + 2x + -3x = -14 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-2 + -1x = -14 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + -1x = -14 + 0
-2 + -1x = -14

Add '2' to each side of the equation.
-2 + 2 + -1x = -14 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = -14 + 2
-1x = -14 + 2

Combine like terms: -14 + 2 = -12
-1x = -12

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

Simplifying
x = 12

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