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

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


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

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

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

Combine like terms: -35 + 11 = -24
-24 + 7a = 5(a + -4)

Reorder the terms:
-24 + 7a = 5(-4 + a)
-24 + 7a = (-4 * 5 + a * 5)
-24 + 7a = (-20 + 5a)

Solving
-24 + 7a = -20 + 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.
-24 + 7a + -5a = -20 + 5a + -5a

Combine like terms: 7a + -5a = 2a
-24 + 2a = -20 + 5a + -5a

Combine like terms: 5a + -5a = 0
-24 + 2a = -20 + 0
-24 + 2a = -20

Add '24' to each side of the equation.
-24 + 24 + 2a = -20 + 24

Combine like terms: -24 + 24 = 0
0 + 2a = -20 + 24
2a = -20 + 24

Combine like terms: -20 + 24 = 4
2a = 4

Divide each side by '2'.
a = 2

Simplifying
a = 2

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