4(5-2b)+3(2b-10)=-7(b+2)

Solution for 4(5-2b)+3(2b-10)=-7(b+2) equation:

Simplifying
4(5 + -2b) + 3(2b + -10) = -7(b + 2)
(5 * 4 + -2b * 4) + 3(2b + -10) = -7(b + 2)
(20 + -8b) + 3(2b + -10) = -7(b + 2)

Reorder the terms:
20 + -8b + 3(-10 + 2b) = -7(b + 2)
20 + -8b + (-10 * 3 + 2b * 3) = -7(b + 2)
20 + -8b + (-30 + 6b) = -7(b + 2)

Reorder the terms:
20 + -30 + -8b + 6b = -7(b + 2)

Combine like terms: 20 + -30 = -10
-10 + -8b + 6b = -7(b + 2)

Combine like terms: -8b + 6b = -2b
-10 + -2b = -7(b + 2)

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

Solving
-10 + -2b = -14 + -7b

Solving for variable 'b'.

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

Add '7b' to each side of the equation.
-10 + -2b + 7b = -14 + -7b + 7b

Combine like terms: -2b + 7b = 5b
-10 + 5b = -14 + -7b + 7b

Combine like terms: -7b + 7b = 0
-10 + 5b = -14 + 0
-10 + 5b = -14

Add '10' to each side of the equation.
-10 + 10 + 5b = -14 + 10

Combine like terms: -10 + 10 = 0
0 + 5b = -14 + 10
5b = -14 + 10

Combine like terms: -14 + 10 = -4
5b = -4

Divide each side by '5'.
b = -0.8

Simplifying
b = -0.8