7(2a+1)=5a-7

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Solution for 7(2a+1)=5a-7 equation:


Simplifying
7(2a + 1) = 5a + -7

Reorder the terms:
7(1 + 2a) = 5a + -7
(1 * 7 + 2a * 7) = 5a + -7
(7 + 14a) = 5a + -7

Reorder the terms:
7 + 14a = -7 + 5a

Solving
7 + 14a = -7 + 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.
7 + 14a + -5a = -7 + 5a + -5a

Combine like terms: 14a + -5a = 9a
7 + 9a = -7 + 5a + -5a

Combine like terms: 5a + -5a = 0
7 + 9a = -7 + 0
7 + 9a = -7

Add '-7' to each side of the equation.
7 + -7 + 9a = -7 + -7

Combine like terms: 7 + -7 = 0
0 + 9a = -7 + -7
9a = -7 + -7

Combine like terms: -7 + -7 = -14
9a = -14

Divide each side by '9'.
a = -1.555555556

Simplifying
a = -1.555555556

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