a+(a+7)+(4a)=157

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Solution for a+(a+7)+(4a)=157 equation:


Simplifying
a + (a + 7) + (4a) = 157

Reorder the terms:
a + (7 + a) + (4a) = 157

Remove parenthesis around (7 + a)
a + 7 + a + (4a) = 157

Reorder the terms:
7 + a + a + (4a) = 157

Combine like terms: a + a = 2a
7 + 2a + (4a) = 157

Combine like terms: 2a + (4a) = 6a
7 + 6a = 157

Solving
7 + 6a = 157

Solving for variable 'a'.

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

Add '-7' to each side of the equation.
7 + -7 + 6a = 157 + -7

Combine like terms: 7 + -7 = 0
0 + 6a = 157 + -7
6a = 157 + -7

Combine like terms: 157 + -7 = 150
6a = 150

Divide each side by '6'.
a = 25

Simplifying
a = 25

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