7b+3-4b=30-3(b+4)

Solution for 7b+3-4b=30-3(b+4) equation:

Simplifying
7b + 3 + -4b = 30 + -3(b + 4)

Reorder the terms:
3 + 7b + -4b = 30 + -3(b + 4)

Combine like terms: 7b + -4b = 3b
3 + 3b = 30 + -3(b + 4)

Reorder the terms:
3 + 3b = 30 + -3(4 + b)
3 + 3b = 30 + (4 * -3 + b * -3)
3 + 3b = 30 + (-12 + -3b)

Combine like terms: 30 + -12 = 18
3 + 3b = 18 + -3b

Solving
3 + 3b = 18 + -3b

Solving for variable 'b'.

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

Add '3b' to each side of the equation.
3 + 3b + 3b = 18 + -3b + 3b

Combine like terms: 3b + 3b = 6b
3 + 6b = 18 + -3b + 3b

Combine like terms: -3b + 3b = 0
3 + 6b = 18 + 0
3 + 6b = 18

Add '-3' to each side of the equation.
3 + -3 + 6b = 18 + -3

Combine like terms: 3 + -3 = 0
0 + 6b = 18 + -3
6b = 18 + -3

Combine like terms: 18 + -3 = 15
6b = 15

Divide each side by '6'.
b = 2.5

Simplifying
b = 2.5