18-0.5(a-12)=0.4(9a-12)

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Solution for 18-0.5(a-12)=0.4(9a-12) equation:


Simplifying
18 + -0.5(a + -12) = 0.4(9a + -12)

Reorder the terms:
18 + -0.5(-12 + a) = 0.4(9a + -12)
18 + (-12 * -0.5 + a * -0.5) = 0.4(9a + -12)
18 + (6 + -0.5a) = 0.4(9a + -12)

Combine like terms: 18 + 6 = 24
24 + -0.5a = 0.4(9a + -12)

Reorder the terms:
24 + -0.5a = 0.4(-12 + 9a)
24 + -0.5a = (-12 * 0.4 + 9a * 0.4)
24 + -0.5a = (-4.8 + 3.6a)

Solving
24 + -0.5a = -4.8 + 3.6a

Solving for variable 'a'.

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

Add '-3.6a' to each side of the equation.
24 + -0.5a + -3.6a = -4.8 + 3.6a + -3.6a

Combine like terms: -0.5a + -3.6a = -4.1a
24 + -4.1a = -4.8 + 3.6a + -3.6a

Combine like terms: 3.6a + -3.6a = 0.0
24 + -4.1a = -4.8 + 0.0
24 + -4.1a = -4.8

Add '-24' to each side of the equation.
24 + -24 + -4.1a = -4.8 + -24

Combine like terms: 24 + -24 = 0
0 + -4.1a = -4.8 + -24
-4.1a = -4.8 + -24

Combine like terms: -4.8 + -24 = -28.8
-4.1a = -28.8

Divide each side by '-4.1'.
a = 7.024390244

Simplifying
a = 7.024390244

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