3x-15-2(x+4)=6-x

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Solution for 3x-15-2(x+4)=6-x equation:


Simplifying
3x + -15 + -2(x + 4) = 6 + -1x

Reorder the terms:
3x + -15 + -2(4 + x) = 6 + -1x
3x + -15 + (4 * -2 + x * -2) = 6 + -1x
3x + -15 + (-8 + -2x) = 6 + -1x

Reorder the terms:
-15 + -8 + 3x + -2x = 6 + -1x

Combine like terms: -15 + -8 = -23
-23 + 3x + -2x = 6 + -1x

Combine like terms: 3x + -2x = 1x
-23 + 1x = 6 + -1x

Solving
-23 + 1x = 6 + -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.
-23 + 1x + x = 6 + -1x + x

Combine like terms: 1x + x = 2x
-23 + 2x = 6 + -1x + x

Combine like terms: -1x + x = 0
-23 + 2x = 6 + 0
-23 + 2x = 6

Add '23' to each side of the equation.
-23 + 23 + 2x = 6 + 23

Combine like terms: -23 + 23 = 0
0 + 2x = 6 + 23
2x = 6 + 23

Combine like terms: 6 + 23 = 29
2x = 29

Divide each side by '2'.
x = 14.5

Simplifying
x = 14.5

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