Final answer:
To solve the equation 5x+14-2x=12+10, combine like terms and isolate x. The solution is x = 8/3. To solve the inequality 3x+4x-4<20, combine like terms and isolate x. The solution is x < 24/7.
Step-by-step explanation:
To solve the equation 5x+14-2x=12+10, we need to combine like terms on both sides of the equation. On the left side, combine 5x and -2x to get 3x. On the right side, combine 12 and 10 to get 22. So the equation becomes 3x + 14 = 22. To isolate x, subtract 14 from both sides of the equation: 3x = 8. Finally, divide both sides of the equation by 3 to find the value of x: x = 8/3.
To solve the inequality 3x+4x-4<20, we need to combine like terms on the left side of the inequality. Combine 3x and 4x to get 7x. Then subtract 4 from both sides of the inequality: 7x < 24. To isolate x, divide both sides of the inequality by 7: x < 24/7. So the solution to the inequality is x < 24/7.