5(2a-1)-5=3(a-1)

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Solution for 5(2a-1)-5=3(a-1) equation:


Simplifying
5(2a + -1) + -5 = 3(a + -1)

Reorder the terms:
5(-1 + 2a) + -5 = 3(a + -1)
(-1 * 5 + 2a * 5) + -5 = 3(a + -1)
(-5 + 10a) + -5 = 3(a + -1)

Reorder the terms:
-5 + -5 + 10a = 3(a + -1)

Combine like terms: -5 + -5 = -10
-10 + 10a = 3(a + -1)

Reorder the terms:
-10 + 10a = 3(-1 + a)
-10 + 10a = (-1 * 3 + a * 3)
-10 + 10a = (-3 + 3a)

Solving
-10 + 10a = -3 + 3a

Solving for variable 'a'.

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

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

Combine like terms: 10a + -3a = 7a
-10 + 7a = -3 + 3a + -3a

Combine like terms: 3a + -3a = 0
-10 + 7a = -3 + 0
-10 + 7a = -3

Add '10' to each side of the equation.
-10 + 10 + 7a = -3 + 10

Combine like terms: -10 + 10 = 0
0 + 7a = -3 + 10
7a = -3 + 10

Combine like terms: -3 + 10 = 7
7a = 7

Divide each side by '7'.
a = 1

Simplifying
a = 1

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