7a-(a-5)=-10

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Solution for 7a-(a-5)=-10 equation:


Simplifying
7a + -1(a + -5) = -10

Reorder the terms:
7a + -1(-5 + a) = -10
7a + (-5 * -1 + a * -1) = -10
7a + (5 + -1a) = -10

Reorder the terms:
5 + 7a + -1a = -10

Combine like terms: 7a + -1a = 6a
5 + 6a = -10

Solving
5 + 6a = -10

Solving for variable 'a'.

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

Add '-5' to each side of the equation.
5 + -5 + 6a = -10 + -5

Combine like terms: 5 + -5 = 0
0 + 6a = -10 + -5
6a = -10 + -5

Combine like terms: -10 + -5 = -15
6a = -15

Divide each side by '6'.
a = -2.5

Simplifying
a = -2.5

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