Solve the following equation: 5(3b -3) -3(3b -7) = 12
Answers
Answer:
Solution for 5(3b-3)-3(3b-7)=12 equation:
Simplifying
5(3b + -3) + -3(3b + -7) = 12
Reorder the terms:
5(-3 + 3b) + -3(3b + -7) = 12
(-3 * 5 + 3b * 5) + -3(3b + -7) = 12
(-15 + 15b) + -3(3b + -7) = 12
Reorder the terms:
-15 + 15b + -3(-7 + 3b) = 12
-15 + 15b + (-7 * -3 + 3b * -3) = 12
-15 + 15b + (21 + -9b) = 12
Reorder the terms:
-15 + 21 + 15b + -9b = 12
Combine like terms: -15 + 21 = 6
6 + 15b + -9b = 12
Combine like terms: 15b + -9b = 6b
6 + 6b = 12
Solving
6 + 6b = 12
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Add '-6' to each side of the equation.
6 + -6 + 6b = 12 + -6
Combine like terms: 6 + -6 = 0
0 + 6b = 12 + -6
6b = 12 + -6
Combine like terms: 12 + -6 = 6
6b = 6
Divide each side by '6'.
b = 1
Simplifying
b = 1
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Answer:
b=3
Step-by-step explanation:
5(3b-3)-3(3b-7)=12
15b-15-9b-21=12
15b-9b-21-15=12
6b-6=12
6b-6+6=12+6
6b-0=18
6b=18
6b=18
b=3