5(a-4)=3(a+1.5)

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Solution for 5(a-4)=3(a+1.5) equation:


Simplifying
5(a + -4) = 3(a + 1.5)

Reorder the terms:
5(-4 + a) = 3(a + 1.5)
(-4 * 5 + a * 5) = 3(a + 1.5)
(-20 + 5a) = 3(a + 1.5)

Reorder the terms:
-20 + 5a = 3(1.5 + a)
-20 + 5a = (1.5 * 3 + a * 3)
-20 + 5a = (4.5 + 3a)

Solving
-20 + 5a = 4.5 + 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.
-20 + 5a + -3a = 4.5 + 3a + -3a

Combine like terms: 5a + -3a = 2a
-20 + 2a = 4.5 + 3a + -3a

Combine like terms: 3a + -3a = 0
-20 + 2a = 4.5 + 0
-20 + 2a = 4.5

Add '20' to each side of the equation.
-20 + 20 + 2a = 4.5 + 20

Combine like terms: -20 + 20 = 0
0 + 2a = 4.5 + 20
2a = 4.5 + 20

Combine like terms: 4.5 + 20 = 24.5
2a = 24.5

Divide each side by '2'.
a = 12.25

Simplifying
a = 12.25

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