5(2a-3)=3(a-19)

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Solution for 5(2a-3)=3(a-19) equation:


Simplifying
5(2a + -3) = 3(a + -19)

Reorder the terms:
5(-3 + 2a) = 3(a + -19)
(-3 * 5 + 2a * 5) = 3(a + -19)
(-15 + 10a) = 3(a + -19)

Reorder the terms:
-15 + 10a = 3(-19 + a)
-15 + 10a = (-19 * 3 + a * 3)
-15 + 10a = (-57 + 3a)

Solving
-15 + 10a = -57 + 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.
-15 + 10a + -3a = -57 + 3a + -3a

Combine like terms: 10a + -3a = 7a
-15 + 7a = -57 + 3a + -3a

Combine like terms: 3a + -3a = 0
-15 + 7a = -57 + 0
-15 + 7a = -57

Add '15' to each side of the equation.
-15 + 15 + 7a = -57 + 15

Combine like terms: -15 + 15 = 0
0 + 7a = -57 + 15
7a = -57 + 15

Combine like terms: -57 + 15 = -42
7a = -42

Divide each side by '7'.
a = -6

Simplifying
a = -6

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