3x-2(x+4)=10-x

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Solution for 3x-2(x+4)=10-x equation:


Simplifying
3x + -2(x + 4) = 10 + -1x

Reorder the terms:
3x + -2(4 + x) = 10 + -1x
3x + (4 * -2 + x * -2) = 10 + -1x
3x + (-8 + -2x) = 10 + -1x

Reorder the terms:
-8 + 3x + -2x = 10 + -1x

Combine like terms: 3x + -2x = 1x
-8 + 1x = 10 + -1x

Solving
-8 + 1x = 10 + -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.
-8 + 1x + x = 10 + -1x + x

Combine like terms: 1x + x = 2x
-8 + 2x = 10 + -1x + x

Combine like terms: -1x + x = 0
-8 + 2x = 10 + 0
-8 + 2x = 10

Add '8' to each side of the equation.
-8 + 8 + 2x = 10 + 8

Combine like terms: -8 + 8 = 0
0 + 2x = 10 + 8
2x = 10 + 8

Combine like terms: 10 + 8 = 18
2x = 18

Divide each side by '2'.
x = 9

Simplifying
x = 9

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