.5(6a-10)-4(a-4)=21

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Solution for .5(6a-10)-4(a-4)=21 equation: 


Simplifying
0.5(6a + -10) + -4(a + -4) = 21

Reorder the terms:
0.5(-10 + 6a) + -4(a + -4) = 21
(-10 * 0.5 + 6a * 0.5) + -4(a + -4) = 21
(-5 + 3a) + -4(a + -4) = 21

Reorder the terms:
-5 + 3a + -4(-4 + a) = 21
-5 + 3a + (-4 * -4 + a * -4) = 21
-5 + 3a + (16 + -4a) = 21

Reorder the terms:
-5 + 16 + 3a + -4a = 21

Combine like terms: -5 + 16 = 11
11 + 3a + -4a = 21

Combine like terms: 3a + -4a = -1a
11 + -1a = 21

Solving
11 + -1a = 21

Solving for variable 'a'.

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

Add '-11' to each side of the equation.
11 + -11 + -1a = 21 + -11

Combine like terms: 11 + -11 = 0
0 + -1a = 21 + -11
-1a = 21 + -11

Combine like terms: 21 + -11 = 10
-1a = 10

Divide each side by '-1'.
a = -10

Simplifying
a = -10

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