Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

problem 4 solve the equation. 2b + 8 - 5b + 3 = -13 + 8b - 5 use the sk…

Question

problem 4
solve the equation.
2b + 8 - 5b + 3 = -13 + 8b - 5
use the sketch tool or paper if it helps with your thinking.

Explanation:

Step1: Combine like terms on left

$2b - 5b + 8 + 3 = -3b + 11$

Step2: Combine like terms on right

$-13 - 5 + 8b = -18 + 8b$

Step3: Isolate variable terms

$-3b - 8b = -18 - 11$

Step4: Simplify both sides

$-11b = -29$

Step5: Solve for b

$b = \frac{-29}{-11} = \frac{29}{11}$

Answer:

$b=\frac{29}{11}$ or $b\approx2.64$