5(a-4)-2a+5=18a

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Solution for 5(a-4)-2a+5=18a equation:


Simplifying
5(a + -4) + -2a + 5 = 18a

Reorder the terms:
5(-4 + a) + -2a + 5 = 18a
(-4 * 5 + a * 5) + -2a + 5 = 18a
(-20 + 5a) + -2a + 5 = 18a

Reorder the terms:
-20 + 5 + 5a + -2a = 18a

Combine like terms: -20 + 5 = -15
-15 + 5a + -2a = 18a

Combine like terms: 5a + -2a = 3a
-15 + 3a = 18a

Solving
-15 + 3a = 18a

Solving for variable 'a'.

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

Add '-18a' to each side of the equation.
-15 + 3a + -18a = 18a + -18a

Combine like terms: 3a + -18a = -15a
-15 + -15a = 18a + -18a

Combine like terms: 18a + -18a = 0
-15 + -15a = 0

Add '15' to each side of the equation.
-15 + 15 + -15a = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -15a = 0 + 15
-15a = 0 + 15

Combine like terms: 0 + 15 = 15
-15a = 15

Divide each side by '-15'.
a = -1

Simplifying
a = -1

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