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

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


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

Reorder the terms:
3(-8 + x) = 2(x + 4) + 1
(-8 * 3 + x * 3) = 2(x + 4) + 1
(-24 + 3x) = 2(x + 4) + 1

Reorder the terms:
-24 + 3x = 2(4 + x) + 1
-24 + 3x = (4 * 2 + x * 2) + 1
-24 + 3x = (8 + 2x) + 1

Reorder the terms:
-24 + 3x = 8 + 1 + 2x

Combine like terms: 8 + 1 = 9
-24 + 3x = 9 + 2x

Solving
-24 + 3x = 9 + 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.
-24 + 3x + -2x = 9 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-24 + 1x = 9 + 2x + -2x

Combine like terms: 2x + -2x = 0
-24 + 1x = 9 + 0
-24 + 1x = 9

Add '24' to each side of the equation.
-24 + 24 + 1x = 9 + 24

Combine like terms: -24 + 24 = 0
0 + 1x = 9 + 24
1x = 9 + 24

Combine like terms: 9 + 24 = 33
1x = 33

Divide each side by '1'.
x = 33

Simplifying
x = 33

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