5a+7(a-5)-3(b-5)=0

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Solution for 5a+7(a-5)-3(b-5)=0 equation:


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

Reorder the terms:
5a + 7(-5 + a) + -3(b + -5) = 0
5a + (-5 * 7 + a * 7) + -3(b + -5) = 0
5a + (-35 + 7a) + -3(b + -5) = 0

Reorder the terms:
5a + -35 + 7a + -3(-5 + b) = 0
5a + -35 + 7a + (-5 * -3 + b * -3) = 0
5a + -35 + 7a + (15 + -3b) = 0

Reorder the terms:
-35 + 15 + 5a + 7a + -3b = 0

Combine like terms: -35 + 15 = -20
-20 + 5a + 7a + -3b = 0

Combine like terms: 5a + 7a = 12a
-20 + 12a + -3b = 0

Solving
-20 + 12a + -3b = 0

Solving for variable 'a'.

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

Add '20' to each side of the equation.
-20 + 12a + 20 + -3b = 0 + 20

Reorder the terms:
-20 + 20 + 12a + -3b = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 12a + -3b = 0 + 20
12a + -3b = 0 + 20

Combine like terms: 0 + 20 = 20
12a + -3b = 20

Add '3b' to each side of the equation.
12a + -3b + 3b = 20 + 3b

Combine like terms: -3b + 3b = 0
12a + 0 = 20 + 3b
12a = 20 + 3b

Divide each side by '12'.
a = 1.666666667 + 0.25b

Simplifying
a = 1.666666667 + 0.25b

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