-3a+30=5(a-2)

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Solution for -3a+30=5(a-2) equation:


Simplifying
-3a + 30 = 5(a + -2)

Reorder the terms:
30 + -3a = 5(a + -2)

Reorder the terms:
30 + -3a = 5(-2 + a)
30 + -3a = (-2 * 5 + a * 5)
30 + -3a = (-10 + 5a)

Solving
30 + -3a = -10 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
30 + -3a + -5a = -10 + 5a + -5a

Combine like terms: -3a + -5a = -8a
30 + -8a = -10 + 5a + -5a

Combine like terms: 5a + -5a = 0
30 + -8a = -10 + 0
30 + -8a = -10

Add '-30' to each side of the equation.
30 + -30 + -8a = -10 + -30

Combine like terms: 30 + -30 = 0
0 + -8a = -10 + -30
-8a = -10 + -30

Combine like terms: -10 + -30 = -40
-8a = -40

Divide each side by '-8'.
a = 5

Simplifying
a = 5

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