7a-5(8-8)=2(a+5)

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Solution for 7a-5(8-8)=2(a+5) equation:


Simplifying
7a + -5(8 + -8) = 2(a + 5)

Combine like terms: 8 + -8 = 0
7a + -5(0) = 2(a + 5)

Multiply -5 * 0
7a + 0 = 2(a + 5)

Anything times zero is zero.
7a + 0 = 2(a + 5)

Reorder the terms:
0 + 7a = 2(a + 5)
Remove the zero:
7a = 2(a + 5)

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

Solving
7a = 10 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
7a + -2a = 10 + 2a + -2a

Combine like terms: 7a + -2a = 5a
5a = 10 + 2a + -2a

Combine like terms: 2a + -2a = 0
5a = 10 + 0
5a = 10

Divide each side by '5'.
a = 2

Simplifying
a = 2

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