3(x-4)-2(x-8)=1

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Solution for 3(x-4)-2(x-8)=1 equation: 


Simplifying
3(x + -4) + -2(x + -8) = 1

Reorder the terms:
3(-4 + x) + -2(x + -8) = 1
(-4 * 3 + x * 3) + -2(x + -8) = 1
(-12 + 3x) + -2(x + -8) = 1

Reorder the terms:
-12 + 3x + -2(-8 + x) = 1
-12 + 3x + (-8 * -2 + x * -2) = 1
-12 + 3x + (16 + -2x) = 1

Reorder the terms:
-12 + 16 + 3x + -2x = 1

Combine like terms: -12 + 16 = 4
4 + 3x + -2x = 1

Combine like terms: 3x + -2x = 1x
4 + 1x = 1

Solving
4 + 1x = 1

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 1x = 1 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = 1 + -4
1x = 1 + -4

Combine like terms: 1 + -4 = -3
1x = -3

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

Simplifying
x = -3

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