Home \( > \) CC2 \( > \) Chapter \( 6> \) Lesson \( 6.2 .3> \) Problem 6-81 Solve each equation below for \( x \). Check your final answer. \( \begin{array}{ll}\text { a. } 4 x=6 x-14 & \text { b. } 3 x+5=50 \\ \boxtimes \square \operatorname{step} 1 \text { (a): }\end{array} \)

Below are the steps to solve each equation and check your final answer. ───────────────────────────── Part (a): Solve 4x = 6x – 14 Step 1: Get all x terms on one side. Subtract 6x from both sides:   4x – 6x = 6x – 14 – 6x   –2x = –14 Step 2: Isolate x by dividing both sides by –2:   x = (–14)/(–2)   x = 7 Step 3: Check your answer by substituting x = 7 into the original equation:   Left side: 4(7) = 28   Right side: 6(7) – 14 = 42 – 14 = 28   Since 28 = 28, the solution x = 7 is correct. ───────────────────────────── Part (b): Solve 3x + 5 = 50 Step 1: Isolate the x term by subtracting 5 from both sides:   3x + 5 – 5 = 50 – 5   3x = 45 Step 2: Divide both sides by 3:   x = 45/3   x = 15 Step 3: Check your answer:   Substitute x = 15 into the original equation:   3(15) + 5 = 45 + 5 = 50   Since 50 = 50, the solution x = 15 is verified. ───────────────────────────── Final Answers: (a) x = 7 (b) x = 15