5(3a+1)=2(3x+1)

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


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

Reorder the terms:
5(1 + 3a) = 2(3x + 1)
(1 * 5 + 3a * 5) = 2(3x + 1)
(5 + 15a) = 2(3x + 1)

Reorder the terms:
5 + 15a = 2(1 + 3x)
5 + 15a = (1 * 2 + 3x * 2)
5 + 15a = (2 + 6x)

Solving
5 + 15a = 2 + 6x

Solving for variable 'a'.

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

Add '-5' to each side of the equation.
5 + -5 + 15a = 2 + -5 + 6x

Combine like terms: 5 + -5 = 0
0 + 15a = 2 + -5 + 6x
15a = 2 + -5 + 6x

Combine like terms: 2 + -5 = -3
15a = -3 + 6x

Divide each side by '15'.
a = -0.2 + 0.4x

Simplifying
a = -0.2 + 0.4x

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