3*5a-2=-1.5a+4

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Solution for 3*5a-2=-1.5a+4 equation:


Simplifying
3 * 5a + -2 = -1.5a + 4

Multiply 3 * 5
15a + -2 = -1.5a + 4

Reorder the terms:
-2 + 15a = -1.5a + 4

Reorder the terms:
-2 + 15a = 4 + -1.5a

Solving
-2 + 15a = 4 + -1.5a

Solving for variable 'a'.

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

Add '1.5a' to each side of the equation.
-2 + 15a + 1.5a = 4 + -1.5a + 1.5a

Combine like terms: 15a + 1.5a = 16.5a
-2 + 16.5a = 4 + -1.5a + 1.5a

Combine like terms: -1.5a + 1.5a = 0.0
-2 + 16.5a = 4 + 0.0
-2 + 16.5a = 4

Add '2' to each side of the equation.
-2 + 2 + 16.5a = 4 + 2

Combine like terms: -2 + 2 = 0
0 + 16.5a = 4 + 2
16.5a = 4 + 2

Combine like terms: 4 + 2 = 6
16.5a = 6

Divide each side by '16.5'.
a = 0.3636363636

Simplifying
a = 0.3636363636

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