7(b-2a)=5(-3a+1)

Solution for 7(b-2a)=5(-3a+1) equation:

Simplifying
7(b + -2a) = 5(-3a + 1)

Reorder the terms:
7(-2a + b) = 5(-3a + 1)
(-2a * 7 + b * 7) = 5(-3a + 1)
(-14a + 7b) = 5(-3a + 1)

Reorder the terms:
-14a + 7b = 5(1 + -3a)
-14a + 7b = (1 * 5 + -3a * 5)
-14a + 7b = (5 + -15a)

Solving
-14a + 7b = 5 + -15a

Solving for variable 'a'.

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

Add '15a' to each side of the equation.
-14a + 15a + 7b = 5 + -15a + 15a

Combine like terms: -14a + 15a = 1a
1a + 7b = 5 + -15a + 15a

Combine like terms: -15a + 15a = 0
1a + 7b = 5 + 0
1a + 7b = 5

Add '-7b' to each side of the equation.
1a + 7b + -7b = 5 + -7b

Combine like terms: 7b + -7b = 0
1a + 0 = 5 + -7b
1a = 5 + -7b

Divide each side by '1'.
a = 5 + -7b

Simplifying
a = 5 + -7b