3(x+7)=2(x+9)-x

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Solution for 3(x+7)=2(x+9)-x equation:


Simplifying
3(x + 7) = 2(x + 9) + -1x

Reorder the terms:
3(7 + x) = 2(x + 9) + -1x
(7 * 3 + x * 3) = 2(x + 9) + -1x
(21 + 3x) = 2(x + 9) + -1x

Reorder the terms:
21 + 3x = 2(9 + x) + -1x
21 + 3x = (9 * 2 + x * 2) + -1x
21 + 3x = (18 + 2x) + -1x

Combine like terms: 2x + -1x = 1x
21 + 3x = 18 + 1x

Solving
21 + 3x = 18 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
21 + 3x + -1x = 18 + 1x + -1x

Combine like terms: 3x + -1x = 2x
21 + 2x = 18 + 1x + -1x

Combine like terms: 1x + -1x = 0
21 + 2x = 18 + 0
21 + 2x = 18

Add '-21' to each side of the equation.
21 + -21 + 2x = 18 + -21

Combine like terms: 21 + -21 = 0
0 + 2x = 18 + -21
2x = 18 + -21

Combine like terms: 18 + -21 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5

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