(a+9)-(5a-13)=4(3-a)

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Solution for (a+9)-(5a-13)=4(3-a) equation:


Simplifying
(a + 9) + -1(5a + -13) = 4(3 + -1a)

Reorder the terms:
(9 + a) + -1(5a + -13) = 4(3 + -1a)

Remove parenthesis around (9 + a)
9 + a + -1(5a + -13) = 4(3 + -1a)

Reorder the terms:
9 + a + -1(-13 + 5a) = 4(3 + -1a)
9 + a + (-13 * -1 + 5a * -1) = 4(3 + -1a)
9 + a + (13 + -5a) = 4(3 + -1a)

Reorder the terms:
9 + 13 + a + -5a = 4(3 + -1a)

Combine like terms: 9 + 13 = 22
22 + a + -5a = 4(3 + -1a)

Combine like terms: a + -5a = -4a
22 + -4a = 4(3 + -1a)
22 + -4a = (3 * 4 + -1a * 4)
22 + -4a = (12 + -4a)

Add '4a' to each side of the equation.
22 + -4a + 4a = 12 + -4a + 4a

Combine like terms: -4a + 4a = 0
22 + 0 = 12 + -4a + 4a
22 = 12 + -4a + 4a

Combine like terms: -4a + 4a = 0
22 = 12 + 0
22 = 12

Solving
22 = 12

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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