7x-2(3x+4)=18-x

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Solution for 7x-2(3x+4)=18-x equation:


Simplifying
7x + -2(3x + 4) = 18 + -1x

Reorder the terms:
7x + -2(4 + 3x) = 18 + -1x
7x + (4 * -2 + 3x * -2) = 18 + -1x
7x + (-8 + -6x) = 18 + -1x

Reorder the terms:
-8 + 7x + -6x = 18 + -1x

Combine like terms: 7x + -6x = 1x
-8 + 1x = 18 + -1x

Solving
-8 + 1x = 18 + -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 = 18 + -1x + x

Combine like terms: 1x + x = 2x
-8 + 2x = 18 + -1x + x

Combine like terms: -1x + x = 0
-8 + 2x = 18 + 0
-8 + 2x = 18

Add '8' to each side of the equation.
-8 + 8 + 2x = 18 + 8

Combine like terms: -8 + 8 = 0
0 + 2x = 18 + 8
2x = 18 + 8

Combine like terms: 18 + 8 = 26
2x = 26

Divide each side by '2'.
x = 13

Simplifying
x = 13

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