3x-(x-4)=5x+16

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Solution for 3x-(x-4)=5x+16 equation:


Simplifying
3x + -1(x + -4) = 5x + 16

Reorder the terms:
3x + -1(-4 + x) = 5x + 16
3x + (-4 * -1 + x * -1) = 5x + 16
3x + (4 + -1x) = 5x + 16

Reorder the terms:
4 + 3x + -1x = 5x + 16

Combine like terms: 3x + -1x = 2x
4 + 2x = 5x + 16

Reorder the terms:
4 + 2x = 16 + 5x

Solving
4 + 2x = 16 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
4 + 2x + -5x = 16 + 5x + -5x

Combine like terms: 2x + -5x = -3x
4 + -3x = 16 + 5x + -5x

Combine like terms: 5x + -5x = 0
4 + -3x = 16 + 0
4 + -3x = 16

Add '-4' to each side of the equation.
4 + -4 + -3x = 16 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 16 + -4
-3x = 16 + -4

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

Divide each side by '-3'.
x = -4

Simplifying
x = -4

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