Math

Question Solve the linear equation 5b12=18-5b - 12 = 18 for the variable bb.

Studdy Solution

STEP 1

Assumptions
1. We are given the linear equation 5b12=18-5b - 12 = 18.
2. We need to solve for the variable bb.

STEP 2

First, we will isolate the term containing the variable bb on one side of the equation by adding 1212 to both sides of the equation. This will cancel the 12-12 on the left side.
5b12+12=18+12-5b - 12 + 12 = 18 + 12

STEP 3

Perform the addition on both sides of the equation.
5b=18+12-5b = 18 + 12

STEP 4

Calculate the sum on the right side of the equation.
5b=30-5b = 30

STEP 5

Now, to solve for bb, we will divide both sides of the equation by 5-5 to isolate bb.
5b5=305\frac{-5b}{-5} = \frac{30}{-5}

STEP 6

Perform the division on both sides of the equation.
b=6b = -6
The solution to the equation 5b12=18-5b - 12 = 18 is b=6b = -6.

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