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

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


Simplifying
(a + -2) + -1(-7a + 5) = 0

Reorder the terms:
(-2 + a) + -1(-7a + 5) = 0

Remove parenthesis around (-2 + a)
-2 + a + -1(-7a + 5) = 0

Reorder the terms:
-2 + a + -1(5 + -7a) = 0
-2 + a + (5 * -1 + -7a * -1) = 0
-2 + a + (-5 + 7a) = 0

Reorder the terms:
-2 + -5 + a + 7a = 0

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

Combine like terms: a + 7a = 8a
-7 + 8a = 0

Solving
-7 + 8a = 0

Solving for variable 'a'.

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

Add '7' to each side of the equation.
-7 + 7 + 8a = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 8a = 0 + 7
8a = 0 + 7

Combine like terms: 0 + 7 = 7
8a = 7

Divide each side by '8'.
a = 0.875

Simplifying
a = 0.875

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