3(a-b)=4a-7b

Solution for 3(a-b)=4a-7b equation:

Simplifying
3(a + -1b) = 4a + -7b
(a * 3 + -1b * 3) = 4a + -7b
(3a + -3b) = 4a + -7b

Solving
3a + -3b = 4a + -7b

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.
3a + -4a + -3b = 4a + -4a + -7b

Combine like terms: 3a + -4a = -1a
-1a + -3b = 4a + -4a + -7b

Combine like terms: 4a + -4a = 0
-1a + -3b = 0 + -7b
-1a + -3b = -7b

Add '3b' to each side of the equation.
-1a + -3b + 3b = -7b + 3b

Combine like terms: -3b + 3b = 0
-1a + 0 = -7b + 3b
-1a = -7b + 3b

Combine like terms: -7b + 3b = -4b
-1a = -4b

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

Simplifying
a = 4b