Solve for b in 2b-3b+4=5: Linear Equation Solution

Question

2b3b+4=5 2b-3b+4=5

b=? b=\text{?}

Video Solution

Solution Steps

00:00 Solve
00:03 We want to isolate the unknown B
00:08 Let's collect terms
00:16 Convert from negative to positive
00:24 Negative divided by negative always equals positive
00:28 Positive divided by negative always equals negative
00:31 And this is the solution to the question

Step-by-Step Solution

Let's first arrange the equation so that on the left-hand side we have the terms with the coefficient b b and on the right-hand side the numbers without the coefficient b b .

Remember that when we move terms across the equals sign, the plus and minus signs will change accordingly:

2b3b=54 2b-3b=5-4

Let's now solve the subtraction exercise on both sides:

1b=1 -1b=1

Finally, we can divide both sides by -1 to find our answer:

b=1 b=-1

Answer

-1