3(x+7)-9(x+5)=18

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Solution for 3(x+7)-9(x+5)=18 equation:


Simplifying
3(x + 7) + -9(x + 5) = 18

Reorder the terms:
3(7 + x) + -9(x + 5) = 18
(7 * 3 + x * 3) + -9(x + 5) = 18
(21 + 3x) + -9(x + 5) = 18

Reorder the terms:
21 + 3x + -9(5 + x) = 18
21 + 3x + (5 * -9 + x * -9) = 18
21 + 3x + (-45 + -9x) = 18

Reorder the terms:
21 + -45 + 3x + -9x = 18

Combine like terms: 21 + -45 = -24
-24 + 3x + -9x = 18

Combine like terms: 3x + -9x = -6x
-24 + -6x = 18

Solving
-24 + -6x = 18

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + 24 + -6x = 18 + 24

Combine like terms: -24 + 24 = 0
0 + -6x = 18 + 24
-6x = 18 + 24

Combine like terms: 18 + 24 = 42
-6x = 42

Divide each side by '-6'.
x = -7

Simplifying
x = -7

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