7(b-5)=2(7b+5)

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

Simplifying
7(b + -5) = 2(7b + 5)

Reorder the terms:
7(-5 + b) = 2(7b + 5)
(-5 * 7 + b * 7) = 2(7b + 5)
(-35 + 7b) = 2(7b + 5)

Reorder the terms:
-35 + 7b = 2(5 + 7b)
-35 + 7b = (5 * 2 + 7b * 2)
-35 + 7b = (10 + 14b)

Solving
-35 + 7b = 10 + 14b

Solving for variable 'b'.

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

Add '-14b' to each side of the equation.
-35 + 7b + -14b = 10 + 14b + -14b

Combine like terms: 7b + -14b = -7b
-35 + -7b = 10 + 14b + -14b

Combine like terms: 14b + -14b = 0
-35 + -7b = 10 + 0
-35 + -7b = 10

Add '35' to each side of the equation.
-35 + 35 + -7b = 10 + 35

Combine like terms: -35 + 35 = 0
0 + -7b = 10 + 35
-7b = 10 + 35

Combine like terms: 10 + 35 = 45
-7b = 45

Divide each side by '-7'.
b = -6.428571429

Simplifying
b = -6.428571429