Question

1. $6x + 8 - 3x = 15 - 3$ 14. $6x + 14 - 2x$ 15. $2x - 10 = 16 - 7x + 7x$ 16. $-4x + 7 - 2x + 12x = 31$ 17. $5(4x + 2) = 10 + 2x$ 18. $6(2x - 3) = 16 + x$ 19. $sqrt{\frac{x}{12}} = 5$ 20. $sqrt{x + 6} = 7$ 21. $sqrt{x - 2} - 4 = 8$ 22. $sqrt{\frac{3x}{5}} = 6$

Explanation:

13.

Step1: Combine like - terms on both sides

$6x + 8-3x=15 - 3$ simplifies to $3x+8 = 12$.

Step2: Isolate the variable term

Subtract 8 from both sides: $3x=12 - 8$, so $3x = 4$.

Step3: Solve for x

Divide both sides by 3: $x=\frac{4}{3}$.

Step1: Combine like - terms

$6x+14 - 2x=(6x-2x)+14 = 4x+14$. If $4x + 14=0$, then subtract 14 from both sides: $4x=-14$.

Step2: Solve for x

Divide both sides by 4: $x=-\frac{14}{4}=-\frac{7}{2}$.

Step1: Combine like - terms on the right side

$2x-10=16-7x + 7x$ simplifies to $2x-10 = 16$.

Step2: Isolate the variable term

Add 10 to both sides: $2x=16 + 10$, so $2x=26$.

Step3: Solve for x

Divide both sides by 2: $x = 13$.

Answer:

$x=\frac{4}{3}$

1. This is an expression, not an equation to solve. If it was meant to be an equation (e.g., $6x + 14-2x=0$), we would combine like - terms: