2(3x-4)=3(x-5)+1

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Solution for 2(3x-4)=3(x-5)+1 equation: 


Simplifying
2(3x + -4) = 3(x + -5) + 1

Reorder the terms:
2(-4 + 3x) = 3(x + -5) + 1
(-4 * 2 + 3x * 2) = 3(x + -5) + 1
(-8 + 6x) = 3(x + -5) + 1

Reorder the terms:
-8 + 6x = 3(-5 + x) + 1
-8 + 6x = (-5 * 3 + x * 3) + 1
-8 + 6x = (-15 + 3x) + 1

Reorder the terms:
-8 + 6x = -15 + 1 + 3x

Combine like terms: -15 + 1 = -14
-8 + 6x = -14 + 3x

Solving
-8 + 6x = -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.
-8 + 6x + -3x = -14 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-8 + 3x = -14 + 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + 3x = -14 + 0
-8 + 3x = -14

Add '8' to each side of the equation.
-8 + 8 + 3x = -14 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = -14 + 8
3x = -14 + 8

Combine like terms: -14 + 8 = -6
3x = -6

Divide each side by '3'.
x = -2

Simplifying
x = -2

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