7(x+3)-(6x-9)=12

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Solution for 7(x+3)-(6x-9)=12 equation:


Simplifying
7(x + 3) + -1(6x + -9) = 12

Reorder the terms:
7(3 + x) + -1(6x + -9) = 12
(3 * 7 + x * 7) + -1(6x + -9) = 12
(21 + 7x) + -1(6x + -9) = 12

Reorder the terms:
21 + 7x + -1(-9 + 6x) = 12
21 + 7x + (-9 * -1 + 6x * -1) = 12
21 + 7x + (9 + -6x) = 12

Reorder the terms:
21 + 9 + 7x + -6x = 12

Combine like terms: 21 + 9 = 30
30 + 7x + -6x = 12

Combine like terms: 7x + -6x = 1x
30 + 1x = 12

Solving
30 + 1x = 12

Solving for variable 'x'.

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

Add '-30' to each side of the equation.
30 + -30 + 1x = 12 + -30

Combine like terms: 30 + -30 = 0
0 + 1x = 12 + -30
1x = 12 + -30

Combine like terms: 12 + -30 = -18
1x = -18

Divide each side by '1'.
x = -18

Simplifying
x = -18

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