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

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


Simplifying
2(a + b) + 3(a + b) = 5a
(a * 2 + b * 2) + 3(a + b) = 5a
(2a + 2b) + 3(a + b) = 5a
2a + 2b + (a * 3 + b * 3) = 5a
2a + 2b + (3a + 3b) = 5a

Reorder the terms:
2a + 3a + 2b + 3b = 5a

Combine like terms: 2a + 3a = 5a
5a + 2b + 3b = 5a

Combine like terms: 2b + 3b = 5b
5a + 5b = 5a

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

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

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

Solving
5b = 0

Solving for variable 'b'.

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

Divide each side by '5'.
b = 0

Simplifying
b = 0

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