### Home > INT2 > Chapter 2 > Lesson 2.1.2 > Problem2-20

2-20.

​ One goal of this course will be to review and enhance your algebra skills. Solve for x in each equation below, show and justify all steps leading to your solution, and check your answer. Homework Help ✎

 a. 34x − 80 = 10x − 8Step 1(a):34x − 80 = 10x − 8−10x = −10x Subtract 10x from both sides 24x − 80 = −8Step 2(a):24x − 80 = −8 +80 = +80 Add 80 to both sides 24x = 72Step 3(a):24x = 72 (Divide both sides by 24.)Answer (a):$x=\frac{72}{24} = \frac{9}{3} = 3$ b. 4x − 5 = 4x + 10Answer (b):No solution. c. 3(x − 5) + 2(3x + 1) = 41Step 1(c):3x − 15 + 6x + 2 = 41 d. −2(x + 4) + 6 = −3Hint (d):Remember to combine only like terms.