.75(2a-6)+.5=0.4(3a+20)

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Solution for .75(2a-6)+.5=0.4(3a+20) equation:


Simplifying
0.75(2a + -6) + 0.5 = 0.4(3a + 20)

Reorder the terms:
0.75(-6 + 2a) + 0.5 = 0.4(3a + 20)
(-6 * 0.75 + 2a * 0.75) + 0.5 = 0.4(3a + 20)
(-4.5 + 1.5a) + 0.5 = 0.4(3a + 20)

Reorder the terms:
-4.5 + 0.5 + 1.5a = 0.4(3a + 20)

Combine like terms: -4.5 + 0.5 = -4
-4 + 1.5a = 0.4(3a + 20)

Reorder the terms:
-4 + 1.5a = 0.4(20 + 3a)
-4 + 1.5a = (20 * 0.4 + 3a * 0.4)
-4 + 1.5a = (8 + 1.2a)

Solving
-4 + 1.5a = 8 + 1.2a

Solving for variable 'a'.

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

Add '-1.2a' to each side of the equation.
-4 + 1.5a + -1.2a = 8 + 1.2a + -1.2a

Combine like terms: 1.5a + -1.2a = 0.3a
-4 + 0.3a = 8 + 1.2a + -1.2a

Combine like terms: 1.2a + -1.2a = 0.0
-4 + 0.3a = 8 + 0.0
-4 + 0.3a = 8

Add '4' to each side of the equation.
-4 + 4 + 0.3a = 8 + 4

Combine like terms: -4 + 4 = 0
0 + 0.3a = 8 + 4
0.3a = 8 + 4

Combine like terms: 8 + 4 = 12
0.3a = 12

Divide each side by '0.3'.
a = 40

Simplifying
a = 40

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