28(a-2)+21=12a+61

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Solution for 28(a-2)+21=12a+61 equation:


Simplifying
28(a + -2) + 21 = 12a + 61

Reorder the terms:
28(-2 + a) + 21 = 12a + 61
(-2 * 28 + a * 28) + 21 = 12a + 61
(-56 + 28a) + 21 = 12a + 61

Reorder the terms:
-56 + 21 + 28a = 12a + 61

Combine like terms: -56 + 21 = -35
-35 + 28a = 12a + 61

Reorder the terms:
-35 + 28a = 61 + 12a

Solving
-35 + 28a = 61 + 12a

Solving for variable 'a'.

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

Add '-12a' to each side of the equation.
-35 + 28a + -12a = 61 + 12a + -12a

Combine like terms: 28a + -12a = 16a
-35 + 16a = 61 + 12a + -12a

Combine like terms: 12a + -12a = 0
-35 + 16a = 61 + 0
-35 + 16a = 61

Add '35' to each side of the equation.
-35 + 35 + 16a = 61 + 35

Combine like terms: -35 + 35 = 0
0 + 16a = 61 + 35
16a = 61 + 35

Combine like terms: 61 + 35 = 96
16a = 96

Divide each side by '16'.
a = 6

Simplifying
a = 6

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