7(a+5)-12=3(a+2)

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Solution for 7(a+5)-12=3(a+2) equation:


Simplifying
7(a + 5) + -12 = 3(a + 2)

Reorder the terms:
7(5 + a) + -12 = 3(a + 2)
(5 * 7 + a * 7) + -12 = 3(a + 2)
(35 + 7a) + -12 = 3(a + 2)

Reorder the terms:
35 + -12 + 7a = 3(a + 2)

Combine like terms: 35 + -12 = 23
23 + 7a = 3(a + 2)

Reorder the terms:
23 + 7a = 3(2 + a)
23 + 7a = (2 * 3 + a * 3)
23 + 7a = (6 + 3a)

Solving
23 + 7a = 6 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
23 + 7a + -3a = 6 + 3a + -3a

Combine like terms: 7a + -3a = 4a
23 + 4a = 6 + 3a + -3a

Combine like terms: 3a + -3a = 0
23 + 4a = 6 + 0
23 + 4a = 6

Add '-23' to each side of the equation.
23 + -23 + 4a = 6 + -23

Combine like terms: 23 + -23 = 0
0 + 4a = 6 + -23
4a = 6 + -23

Combine like terms: 6 + -23 = -17
4a = -17

Divide each side by '4'.
a = -4.25

Simplifying
a = -4.25

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