3(a+22)=4(a+12)

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Solution for 3(a+22)=4(a+12) equation:


Simplifying
3(a + 22) = 4(a + 12)

Reorder the terms:
3(22 + a) = 4(a + 12)
(22 * 3 + a * 3) = 4(a + 12)
(66 + 3a) = 4(a + 12)

Reorder the terms:
66 + 3a = 4(12 + a)
66 + 3a = (12 * 4 + a * 4)
66 + 3a = (48 + 4a)

Solving
66 + 3a = 48 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
66 + 3a + -4a = 48 + 4a + -4a

Combine like terms: 3a + -4a = -1a
66 + -1a = 48 + 4a + -4a

Combine like terms: 4a + -4a = 0
66 + -1a = 48 + 0
66 + -1a = 48

Add '-66' to each side of the equation.
66 + -66 + -1a = 48 + -66

Combine like terms: 66 + -66 = 0
0 + -1a = 48 + -66
-1a = 48 + -66

Combine like terms: 48 + -66 = -18
-1a = -18

Divide each side by '-1'.
a = 18

Simplifying
a = 18

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