-3(a+2)=15(a-7)

Solution for -3(a+2)=15(a-7) equation:

Simplifying
-3(a + 2) = 15(a + -7)

Reorder the terms:
-3(2 + a) = 15(a + -7)
(2 * -3 + a * -3) = 15(a + -7)
(-6 + -3a) = 15(a + -7)

Reorder the terms:
-6 + -3a = 15(-7 + a)
-6 + -3a = (-7 * 15 + a * 15)
-6 + -3a = (-105 + 15a)

Solving
-6 + -3a = -105 + 15a

Solving for variable 'a'.

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

Add '-15a' to each side of the equation.
-6 + -3a + -15a = -105 + 15a + -15a

Combine like terms: -3a + -15a = -18a
-6 + -18a = -105 + 15a + -15a

Combine like terms: 15a + -15a = 0
-6 + -18a = -105 + 0
-6 + -18a = -105

Add '6' to each side of the equation.
-6 + 6 + -18a = -105 + 6

Combine like terms: -6 + 6 = 0
0 + -18a = -105 + 6
-18a = -105 + 6

Combine like terms: -105 + 6 = -99
-18a = -99

Divide each side by '-18'.
a = 5.5

Simplifying
a = 5.5