9(x+5)=2x-18

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


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

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

Reorder the terms:
45 + 9x = -18 + 2x

Solving
45 + 9x = -18 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
45 + 9x + -2x = -18 + 2x + -2x

Combine like terms: 9x + -2x = 7x
45 + 7x = -18 + 2x + -2x

Combine like terms: 2x + -2x = 0
45 + 7x = -18 + 0
45 + 7x = -18

Add '-45' to each side of the equation.
45 + -45 + 7x = -18 + -45

Combine like terms: 45 + -45 = 0
0 + 7x = -18 + -45
7x = -18 + -45

Combine like terms: -18 + -45 = -63
7x = -63

Divide each side by '7'.
x = -9

Simplifying
x = -9

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