Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solve the equation and simplify your answer. 2x - (x - 1) = 3x + 11 x =…

Question

solve the equation and simplify your answer. 2x - (x - 1) = 3x + 11 x = ?

Explanation:

Step1: Remove parentheses, distribute negative sign

$2x - x + 1 = 3x + 11$

Step2: Simplify left side terms

$x + 1 = 3x + 11$

Step3: Move x terms to one side

$1 = 3x - x + 11$

Step4: Simplify right side x terms

$1 = 2x + 11$

Step5: Isolate the 2x term

$1 - 11 = 2x$

Step6: Calculate left side value

$-10 = 2x$

Step7: Solve for x, divide by 2

$x = \frac{-10}{2}$

Answer:

$x = -5$