(x+8)-(3x-4)=16

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Solution for (x+8)-(3x-4)=16 equation:


Simplifying
(x + 8) + -1(3x + -4) = 16

Reorder the terms:
(8 + x) + -1(3x + -4) = 16

Remove parenthesis around (8 + x)
8 + x + -1(3x + -4) = 16

Reorder the terms:
8 + x + -1(-4 + 3x) = 16
8 + x + (-4 * -1 + 3x * -1) = 16
8 + x + (4 + -3x) = 16

Reorder the terms:
8 + 4 + x + -3x = 16

Combine like terms: 8 + 4 = 12
12 + x + -3x = 16

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

Solving
12 + -2x = 16

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + -2x = 16 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = 16 + -12
-2x = 16 + -12

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

Divide each side by '-2'.
x = -2

Simplifying
x = -2

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