2(b-47)-3(5b+4)=-33

Solution for 2(b-47)-3(5b+4)=-33 equation:

Simplifying
2(b + -47) + -3(5b + 4) = -33

Reorder the terms:
2(-47 + b) + -3(5b + 4) = -33
(-47 * 2 + b * 2) + -3(5b + 4) = -33
(-94 + 2b) + -3(5b + 4) = -33

Reorder the terms:
-94 + 2b + -3(4 + 5b) = -33
-94 + 2b + (4 * -3 + 5b * -3) = -33
-94 + 2b + (-12 + -15b) = -33

Reorder the terms:
-94 + -12 + 2b + -15b = -33

Combine like terms: -94 + -12 = -106
-106 + 2b + -15b = -33

Combine like terms: 2b + -15b = -13b
-106 + -13b = -33

Solving
-106 + -13b = -33

Solving for variable 'b'.

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

Add '106' to each side of the equation.
-106 + 106 + -13b = -33 + 106

Combine like terms: -106 + 106 = 0
0 + -13b = -33 + 106
-13b = -33 + 106

Combine like terms: -33 + 106 = 73
-13b = 73

Divide each side by '-13'.
b = -5.615384615

Simplifying
b = -5.615384615