5(3a-2b)-2(2b-a)=10000

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Solution for 5(3a-2b)-2(2b-a)=10000 equation:


Simplifying
5(3a + -2b) + -2(2b + -1a) = 10000
(3a * 5 + -2b * 5) + -2(2b + -1a) = 10000
(15a + -10b) + -2(2b + -1a) = 10000

Reorder the terms:
15a + -10b + -2(-1a + 2b) = 10000
15a + -10b + (-1a * -2 + 2b * -2) = 10000
15a + -10b + (2a + -4b) = 10000

Reorder the terms:
15a + 2a + -10b + -4b = 10000

Combine like terms: 15a + 2a = 17a
17a + -10b + -4b = 10000

Combine like terms: -10b + -4b = -14b
17a + -14b = 10000

Solving
17a + -14b = 10000

Solving for variable 'a'.

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

Add '14b' to each side of the equation.
17a + -14b + 14b = 10000 + 14b

Combine like terms: -14b + 14b = 0
17a + 0 = 10000 + 14b
17a = 10000 + 14b

Divide each side by '17'.
a = 588.2352941 + 0.8235294118b

Simplifying
a = 588.2352941 + 0.8235294118b

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