7(a-7)+18=5(a-5)

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Solution for 7(a-7)+18=5(a-5) equation:


Simplifying
7(a + -7) + 18 = 5(a + -5)

Reorder the terms:
7(-7 + a) + 18 = 5(a + -5)
(-7 * 7 + a * 7) + 18 = 5(a + -5)
(-49 + 7a) + 18 = 5(a + -5)

Reorder the terms:
-49 + 18 + 7a = 5(a + -5)

Combine like terms: -49 + 18 = -31
-31 + 7a = 5(a + -5)

Reorder the terms:
-31 + 7a = 5(-5 + a)
-31 + 7a = (-5 * 5 + a * 5)
-31 + 7a = (-25 + 5a)

Solving
-31 + 7a = -25 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
-31 + 7a + -5a = -25 + 5a + -5a

Combine like terms: 7a + -5a = 2a
-31 + 2a = -25 + 5a + -5a

Combine like terms: 5a + -5a = 0
-31 + 2a = -25 + 0
-31 + 2a = -25

Add '31' to each side of the equation.
-31 + 31 + 2a = -25 + 31

Combine like terms: -31 + 31 = 0
0 + 2a = -25 + 31
2a = -25 + 31

Combine like terms: -25 + 31 = 6
2a = 6

Divide each side by '2'.
a = 3

Simplifying
a = 3

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