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

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


Simplifying
5 + -1(2a + -3b) + 3(5a + -3b) = 0
5 + (2a * -1 + -3b * -1) + 3(5a + -3b) = 0
5 + (-2a + 3b) + 3(5a + -3b) = 0
5 + -2a + 3b + (5a * 3 + -3b * 3) = 0
5 + -2a + 3b + (15a + -9b) = 0

Reorder the terms:
5 + -2a + 15a + 3b + -9b = 0

Combine like terms: -2a + 15a = 13a
5 + 13a + 3b + -9b = 0

Combine like terms: 3b + -9b = -6b
5 + 13a + -6b = 0

Solving
5 + 13a + -6b = 0

Solving for variable 'a'.

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

Add '-5' to each side of the equation.
5 + 13a + -5 + -6b = 0 + -5

Reorder the terms:
5 + -5 + 13a + -6b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 13a + -6b = 0 + -5
13a + -6b = 0 + -5

Combine like terms: 0 + -5 = -5
13a + -6b = -5

Add '6b' to each side of the equation.
13a + -6b + 6b = -5 + 6b

Combine like terms: -6b + 6b = 0
13a + 0 = -5 + 6b
13a = -5 + 6b

Divide each side by '13'.
a = -0.3846153846 + 0.4615384615b

Simplifying
a = -0.3846153846 + 0.4615384615b

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