15(a-7)-4a=4(a+5)

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Solution for 15(a-7)-4a=4(a+5) equation:


Simplifying
15(a + -7) + -4a = 4(a + 5)

Reorder the terms:
15(-7 + a) + -4a = 4(a + 5)
(-7 * 15 + a * 15) + -4a = 4(a + 5)
(-105 + 15a) + -4a = 4(a + 5)

Combine like terms: 15a + -4a = 11a
-105 + 11a = 4(a + 5)

Reorder the terms:
-105 + 11a = 4(5 + a)
-105 + 11a = (5 * 4 + a * 4)
-105 + 11a = (20 + 4a)

Solving
-105 + 11a = 20 + 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.
-105 + 11a + -4a = 20 + 4a + -4a

Combine like terms: 11a + -4a = 7a
-105 + 7a = 20 + 4a + -4a

Combine like terms: 4a + -4a = 0
-105 + 7a = 20 + 0
-105 + 7a = 20

Add '105' to each side of the equation.
-105 + 105 + 7a = 20 + 105

Combine like terms: -105 + 105 = 0
0 + 7a = 20 + 105
7a = 20 + 105

Combine like terms: 20 + 105 = 125
7a = 125

Divide each side by '7'.
a = 17.85714286

Simplifying
a = 17.85714286

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