2a-(-3a)-7a+8b-b+(-2b)=0

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Solution for 2a-(-3a)-7a+8b-b+(-2b)=0 equation: 


Simplifying
2a + -1(-3a) + -7a + 8b + -1b + (-2b) = 0

Remove parenthesis around (-3a)
2a + -1 * -3a + -7a + 8b + -1b + (-2b) = 0

Multiply -1 * -3
2a + 3a + -7a + 8b + -1b + (-2b) = 0

Combine like terms: 2a + 3a = 5a
5a + -7a + 8b + -1b + (-2b) = 0

Combine like terms: 5a + -7a = -2a
-2a + 8b + -1b + (-2b) = 0

Combine like terms: 8b + -1b = 7b
-2a + 7b + (-2b) = 0

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

Solving
-2a + 5b = 0

Solving for variable 'a'.

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

Add '-5b' to each side of the equation.
-2a + 5b + -5b = 0 + -5b

Combine like terms: 5b + -5b = 0
-2a + 0 = 0 + -5b
-2a = 0 + -5b
Remove the zero:
-2a = -5b

Divide each side by '-2'.
a = 2.5b

Simplifying
a = 2.5b

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