6x-(x+4)=2x+16

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Solution for 6x-(x+4)=2x+16 equation:


Simplifying
6x + -1(x + 4) = 2x + 16

Reorder the terms:
6x + -1(4 + x) = 2x + 16
6x + (4 * -1 + x * -1) = 2x + 16
6x + (-4 + -1x) = 2x + 16

Reorder the terms:
-4 + 6x + -1x = 2x + 16

Combine like terms: 6x + -1x = 5x
-4 + 5x = 2x + 16

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

Solving
-4 + 5x = 16 + 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.
-4 + 5x + -2x = 16 + 2x + -2x

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

Combine like terms: 2x + -2x = 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 = 20
3x = 20

Divide each side by '3'.
x = 6.666666667

Simplifying
x = 6.666666667

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