18-7a=9(5a-2)

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Solution for 18-7a=9(5a-2) equation:


Simplifying
18 + -7a = 9(5a + -2)

Reorder the terms:
18 + -7a = 9(-2 + 5a)
18 + -7a = (-2 * 9 + 5a * 9)
18 + -7a = (-18 + 45a)

Solving
18 + -7a = -18 + 45a

Solving for variable 'a'.

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

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

Combine like terms: -7a + -45a = -52a
18 + -52a = -18 + 45a + -45a

Combine like terms: 45a + -45a = 0
18 + -52a = -18 + 0
18 + -52a = -18

Add '-18' to each side of the equation.
18 + -18 + -52a = -18 + -18

Combine like terms: 18 + -18 = 0
0 + -52a = -18 + -18
-52a = -18 + -18

Combine like terms: -18 + -18 = -36
-52a = -36

Divide each side by '-52'.
a = 0.6923076923

Simplifying
a = 0.6923076923

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