3(x-4)=2(x-8)+5

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Solution for 3(x-4)=2(x-8)+5 equation: 


Simplifying
3(x + -4) = 2(x + -8) + 5

Reorder the terms:
3(-4 + x) = 2(x + -8) + 5
(-4 * 3 + x * 3) = 2(x + -8) + 5
(-12 + 3x) = 2(x + -8) + 5

Reorder the terms:
-12 + 3x = 2(-8 + x) + 5
-12 + 3x = (-8 * 2 + x * 2) + 5
-12 + 3x = (-16 + 2x) + 5

Reorder the terms:
-12 + 3x = -16 + 5 + 2x

Combine like terms: -16 + 5 = -11
-12 + 3x = -11 + 2x

Solving
-12 + 3x = -11 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-12 + 3x + -2x = -11 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-12 + 1x = -11 + 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + 1x = -11 + 0
-12 + 1x = -11

Add '12' to each side of the equation.
-12 + 12 + 1x = -11 + 12

Combine like terms: -12 + 12 = 0
0 + 1x = -11 + 12
1x = -11 + 12

Combine like terms: -11 + 12 = 1
1x = 1

Divide each side by '1'.
x = 1

Simplifying
x = 1

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