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

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


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

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

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

Combine like terms: 2x + -3x = -1x
-8 + 3x = 16 + -1x

Solving
-8 + 3x = 16 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-8 + 3x + x = 16 + -1x + x

Combine like terms: 3x + x = 4x
-8 + 4x = 16 + -1x + x

Combine like terms: -1x + x = 0
-8 + 4x = 16 + 0
-8 + 4x = 16

Add '8' to each side of the equation.
-8 + 8 + 4x = 16 + 8

Combine like terms: -8 + 8 = 0
0 + 4x = 16 + 8
4x = 16 + 8

Combine like terms: 16 + 8 = 24
4x = 24

Divide each side by '4'.
x = 6

Simplifying
x = 6

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