5(a-8)+15=3(a-7)

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Solution for 5(a-8)+15=3(a-7) equation:


Simplifying
5(a + -8) + 15 = 3(a + -7)

Reorder the terms:
5(-8 + a) + 15 = 3(a + -7)
(-8 * 5 + a * 5) + 15 = 3(a + -7)
(-40 + 5a) + 15 = 3(a + -7)

Reorder the terms:
-40 + 15 + 5a = 3(a + -7)

Combine like terms: -40 + 15 = -25
-25 + 5a = 3(a + -7)

Reorder the terms:
-25 + 5a = 3(-7 + a)
-25 + 5a = (-7 * 3 + a * 3)
-25 + 5a = (-21 + 3a)

Solving
-25 + 5a = -21 + 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.
-25 + 5a + -3a = -21 + 3a + -3a

Combine like terms: 5a + -3a = 2a
-25 + 2a = -21 + 3a + -3a

Combine like terms: 3a + -3a = 0
-25 + 2a = -21 + 0
-25 + 2a = -21

Add '25' to each side of the equation.
-25 + 25 + 2a = -21 + 25

Combine like terms: -25 + 25 = 0
0 + 2a = -21 + 25
2a = -21 + 25

Combine like terms: -21 + 25 = 4
2a = 4

Divide each side by '2'.
a = 2

Simplifying
a = 2

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