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

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


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

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

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

Reorder the terms:
-8 + 2x = -6 + 1 + 3x

Combine like terms: -6 + 1 = -5
-8 + 2x = -5 + 3x

Solving
-8 + 2x = -5 + 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 + 2x + -3x = -5 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-8 + -1x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + -1x = -5 + 0
-8 + -1x = -5

Add '8' to each side of the equation.
-8 + 8 + -1x = -5 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = -5 + 8
-1x = -5 + 8

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

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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