(5a-5b+7)-(2a-5b-3)=

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Solution for (5a-5b+7)-(2a-5b-3)= equation:


Simplifying
(5a + -5b + 7) + -1(2a + -5b + -3) = 0

Reorder the terms:
(7 + 5a + -5b) + -1(2a + -5b + -3) = 0

Remove parenthesis around (7 + 5a + -5b)
7 + 5a + -5b + -1(2a + -5b + -3) = 0

Reorder the terms:
7 + 5a + -5b + -1(-3 + 2a + -5b) = 0
7 + 5a + -5b + (-3 * -1 + 2a * -1 + -5b * -1) = 0
7 + 5a + -5b + (3 + -2a + 5b) = 0

Reorder the terms:
7 + 3 + 5a + -2a + -5b + 5b = 0

Combine like terms: 7 + 3 = 10
10 + 5a + -2a + -5b + 5b = 0

Combine like terms: 5a + -2a = 3a
10 + 3a + -5b + 5b = 0

Combine like terms: -5b + 5b = 0
10 + 3a + 0 = 0
10 + 3a = 0

Solving
10 + 3a = 0

Solving for variable 'a'.

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

Add '-10' to each side of the equation.
10 + -10 + 3a = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 3a = 0 + -10
3a = 0 + -10

Combine like terms: 0 + -10 = -10
3a = -10

Divide each side by '3'.
a = -3.333333333

Simplifying
a = -3.333333333

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