(3x+8)-(x-8)=52

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Solution for (3x+8)-(x-8)=52 equation:


Simplifying
(3x + 8) + -1(x + -8) = 52

Reorder the terms:
(8 + 3x) + -1(x + -8) = 52

Remove parenthesis around (8 + 3x)
8 + 3x + -1(x + -8) = 52

Reorder the terms:
8 + 3x + -1(-8 + x) = 52
8 + 3x + (-8 * -1 + x * -1) = 52
8 + 3x + (8 + -1x) = 52

Reorder the terms:
8 + 8 + 3x + -1x = 52

Combine like terms: 8 + 8 = 16
16 + 3x + -1x = 52

Combine like terms: 3x + -1x = 2x
16 + 2x = 52

Solving
16 + 2x = 52

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 2x = 52 + -16

Combine like terms: 16 + -16 = 0
0 + 2x = 52 + -16
2x = 52 + -16

Combine like terms: 52 + -16 = 36
2x = 36

Divide each side by '2'.
x = 18

Simplifying
x = 18

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