2(5a+3b)=2(7a+5b)

Solution for 2(5a+3b)=2(7a+5b) equation:

Simplifying
2(5a + 3b) = 2(7a + 5b)
(5a * 2 + 3b * 2) = 2(7a + 5b)
(10a + 6b) = 2(7a + 5b)
10a + 6b = (7a * 2 + 5b * 2)
10a + 6b = (14a + 10b)

Solving
10a + 6b = 14a + 10b

Solving for variable 'a'.

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

Add '-14a' to each side of the equation.
10a + -14a + 6b = 14a + -14a + 10b

Combine like terms: 10a + -14a = -4a
-4a + 6b = 14a + -14a + 10b

Combine like terms: 14a + -14a = 0
-4a + 6b = 0 + 10b
-4a + 6b = 10b

Add '-6b' to each side of the equation.
-4a + 6b + -6b = 10b + -6b

Combine like terms: 6b + -6b = 0
-4a + 0 = 10b + -6b
-4a = 10b + -6b

Combine like terms: 10b + -6b = 4b
-4a = 4b

Divide each side by '-4'.
a = -1b

Simplifying
a = -1b