5(a-7)+11=4(a-4)

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Solution for 5(a-7)+11=4(a-4) equation:


Simplifying
5(a + -7) + 11 = 4(a + -4)

Reorder the terms:
5(-7 + a) + 11 = 4(a + -4)
(-7 * 5 + a * 5) + 11 = 4(a + -4)
(-35 + 5a) + 11 = 4(a + -4)

Reorder the terms:
-35 + 11 + 5a = 4(a + -4)

Combine like terms: -35 + 11 = -24
-24 + 5a = 4(a + -4)

Reorder the terms:
-24 + 5a = 4(-4 + a)
-24 + 5a = (-4 * 4 + a * 4)
-24 + 5a = (-16 + 4a)

Solving
-24 + 5a = -16 + 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.
-24 + 5a + -4a = -16 + 4a + -4a

Combine like terms: 5a + -4a = 1a
-24 + 1a = -16 + 4a + -4a

Combine like terms: 4a + -4a = 0
-24 + 1a = -16 + 0
-24 + 1a = -16

Add '24' to each side of the equation.
-24 + 24 + 1a = -16 + 24

Combine like terms: -24 + 24 = 0
0 + 1a = -16 + 24
1a = -16 + 24

Combine like terms: -16 + 24 = 8
1a = 8

Divide each side by '1'.
a = 8

Simplifying
a = 8

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