3(2a-4)=8a-15

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Solution for 3(2a-4)=8a-15 equation:


Simplifying
3(2a + -4) = 8a + -15

Reorder the terms:
3(-4 + 2a) = 8a + -15
(-4 * 3 + 2a * 3) = 8a + -15
(-12 + 6a) = 8a + -15

Reorder the terms:
-12 + 6a = -15 + 8a

Solving
-12 + 6a = -15 + 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.
-12 + 6a + -8a = -15 + 8a + -8a

Combine like terms: 6a + -8a = -2a
-12 + -2a = -15 + 8a + -8a

Combine like terms: 8a + -8a = 0
-12 + -2a = -15 + 0
-12 + -2a = -15

Add '12' to each side of the equation.
-12 + 12 + -2a = -15 + 12

Combine like terms: -12 + 12 = 0
0 + -2a = -15 + 12
-2a = -15 + 12

Combine like terms: -15 + 12 = -3
-2a = -3

Divide each side by '-2'.
a = 1.5

Simplifying
a = 1.5

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