5(a-5)=a+7

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


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

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

Reorder the terms:
-25 + 5a = 7 + a

Solving
-25 + 5a = 7 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-25 + 5a + -1a = 7 + a + -1a

Combine like terms: 5a + -1a = 4a
-25 + 4a = 7 + a + -1a

Combine like terms: a + -1a = 0
-25 + 4a = 7 + 0
-25 + 4a = 7

Add '25' to each side of the equation.
-25 + 25 + 4a = 7 + 25

Combine like terms: -25 + 25 = 0
0 + 4a = 7 + 25
4a = 7 + 25

Combine like terms: 7 + 25 = 32
4a = 32

Divide each side by '4'.
a = 8

Simplifying
a = 8

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