Q:

Solve the inequality for x. Show each step of the solution.8x>6(3x-1)- 14

Accepted Solution

A:
Answer:x=4Step-by-step explanation:Simplifying8x + -6 = 3x + 14Reorder the terms:-6 + 8x = 3x + 14Reorder the terms:-6 + 8x = 14 + 3xSolving-6 + 8x = 14 + 3xSolving for variable 'x'.Move all terms containing x to the left, all other terms to the right.Add '-3x' to each side of the equation.-6 + 8x + -3x = 14 + 3x + -3xCombine like terms: 8x + -3x = 5x-6 + 5x = 14 + 3x + -3xCombine like terms: 3x + -3x = 0-6 + 5x = 14 + 0-6 + 5x = 14Add '6' to each side of the equation.-6 + 6 + 5x = 14 + 6Combine like terms: -6 + 6 = 00 + 5x = 14 + 65x = 14 + 6Combine like terms: 14 + 6 = 205x = 20Divide each side by '5'.x = 4Simplifyingx=4answer x=4