4(5a-5)+5a=5(3a-2)

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Solution for 4(5a-5)+5a=5(3a-2) equation:


Simplifying
4(5a + -5) + 5a = 5(3a + -2)

Reorder the terms:
4(-5 + 5a) + 5a = 5(3a + -2)
(-5 * 4 + 5a * 4) + 5a = 5(3a + -2)
(-20 + 20a) + 5a = 5(3a + -2)

Combine like terms: 20a + 5a = 25a
-20 + 25a = 5(3a + -2)

Reorder the terms:
-20 + 25a = 5(-2 + 3a)
-20 + 25a = (-2 * 5 + 3a * 5)
-20 + 25a = (-10 + 15a)

Solving
-20 + 25a = -10 + 15a

Solving for variable 'a'.

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

Add '-15a' to each side of the equation.
-20 + 25a + -15a = -10 + 15a + -15a

Combine like terms: 25a + -15a = 10a
-20 + 10a = -10 + 15a + -15a

Combine like terms: 15a + -15a = 0
-20 + 10a = -10 + 0
-20 + 10a = -10

Add '20' to each side of the equation.
-20 + 20 + 10a = -10 + 20

Combine like terms: -20 + 20 = 0
0 + 10a = -10 + 20
10a = -10 + 20

Combine like terms: -10 + 20 = 10
10a = 10

Divide each side by '10'.
a = 1

Simplifying
a = 1

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