1.5a+6=8a+12

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Solution for 1.5a+6=8a+12 equation:


Simplifying
1.5a + 6 = 8a + 12

Reorder the terms:
6 + 1.5a = 8a + 12

Reorder the terms:
6 + 1.5a = 12 + 8a

Solving
6 + 1.5a = 12 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
6 + 1.5a + -8a = 12 + 8a + -8a

Combine like terms: 1.5a + -8a = -6.5a
6 + -6.5a = 12 + 8a + -8a

Combine like terms: 8a + -8a = 0
6 + -6.5a = 12 + 0
6 + -6.5a = 12

Add '-6' to each side of the equation.
6 + -6 + -6.5a = 12 + -6

Combine like terms: 6 + -6 = 0
0 + -6.5a = 12 + -6
-6.5a = 12 + -6

Combine like terms: 12 + -6 = 6
-6.5a = 6

Divide each side by '-6.5'.
a = -0.9230769231

Simplifying
a = -0.9230769231

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