6a+2b=4a+5b

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Solution for 6a+2b=4a+5b equation:


Simplifying
6a + 2b = 4a + 5b

Solving
6a + 2b = 4a + 5b

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
6a + -4a + 2b = 4a + -4a + 5b

Combine like terms: 6a + -4a = 2a
2a + 2b = 4a + -4a + 5b

Combine like terms: 4a + -4a = 0
2a + 2b = 0 + 5b
2a + 2b = 5b

Add '-2b' to each side of the equation.
2a + 2b + -2b = 5b + -2b

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

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

Divide each side by '2'.
a = 1.5b

Simplifying
a = 1.5b

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