7(a+1)=4a+13

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Solution for 7(a+1)=4a+13 equation:


Simplifying
7(a + 1) = 4a + 13

Reorder the terms:
7(1 + a) = 4a + 13
(1 * 7 + a * 7) = 4a + 13
(7 + 7a) = 4a + 13

Reorder the terms:
7 + 7a = 13 + 4a

Solving
7 + 7a = 13 + 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.
7 + 7a + -4a = 13 + 4a + -4a

Combine like terms: 7a + -4a = 3a
7 + 3a = 13 + 4a + -4a

Combine like terms: 4a + -4a = 0
7 + 3a = 13 + 0
7 + 3a = 13

Add '-7' to each side of the equation.
7 + -7 + 3a = 13 + -7

Combine like terms: 7 + -7 = 0
0 + 3a = 13 + -7
3a = 13 + -7

Combine like terms: 13 + -7 = 6
3a = 6

Divide each side by '3'.
a = 2

Simplifying
a = 2

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