1+7a=5(2a+4)+7

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Solution for 1+7a=5(2a+4)+7 equation:


Simplifying
1 + 7a = 5(2a + 4) + 7

Reorder the terms:
1 + 7a = 5(4 + 2a) + 7
1 + 7a = (4 * 5 + 2a * 5) + 7
1 + 7a = (20 + 10a) + 7

Reorder the terms:
1 + 7a = 20 + 7 + 10a

Combine like terms: 20 + 7 = 27
1 + 7a = 27 + 10a

Solving
1 + 7a = 27 + 10a

Solving for variable 'a'.

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

Add '-10a' to each side of the equation.
1 + 7a + -10a = 27 + 10a + -10a

Combine like terms: 7a + -10a = -3a
1 + -3a = 27 + 10a + -10a

Combine like terms: 10a + -10a = 0
1 + -3a = 27 + 0
1 + -3a = 27

Add '-1' to each side of the equation.
1 + -1 + -3a = 27 + -1

Combine like terms: 1 + -1 = 0
0 + -3a = 27 + -1
-3a = 27 + -1

Combine like terms: 27 + -1 = 26
-3a = 26

Divide each side by '-3'.
a = -8.666666667

Simplifying
a = -8.666666667

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