5(-2x-9)+12(4+x)=18

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Solution for 5(-2x-9)+12(4+x)=18 equation: 


Simplifying
5(-2x + -9) + 12(4 + x) = 18

Reorder the terms:
5(-9 + -2x) + 12(4 + x) = 18
(-9 * 5 + -2x * 5) + 12(4 + x) = 18
(-45 + -10x) + 12(4 + x) = 18
-45 + -10x + (4 * 12 + x * 12) = 18
-45 + -10x + (48 + 12x) = 18

Reorder the terms:
-45 + 48 + -10x + 12x = 18

Combine like terms: -45 + 48 = 3
3 + -10x + 12x = 18

Combine like terms: -10x + 12x = 2x
3 + 2x = 18

Solving
3 + 2x = 18

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 2x = 18 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 18 + -3
2x = 18 + -3

Combine like terms: 18 + -3 = 15
2x = 15

Divide each side by '2'.
x = 7.5

Simplifying
x = 7.5

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