Question

What is the solution to the following equation? (4 points) 2(3x − 7) + 18 = 10

Answer 1

x = 1

Explanation:

Given

2(3x - 7) + 18 = 10 ← subtract 18 from both sides

2(3x - 7) = - 8 ← divide both sides by 2

3x - 7 = - 4 ← add 7 to both sides

3x = 3 ← divide both sides by 3

x = 1

Answer 2

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

2*(3*x-7)+18-(10)=0

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(2 • (3x - 7) + 18) - 10 = 0

Step 2 :

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

6x - 6 = 6 • (x - 1)

Equation at the end of step 3 :

6 • (x - 1) = 0

Step 4 :

Equations which are never true :

4.1 Solve : 6 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.2 Solve : x-1 = 0

Add 1 to both sides of the equation :

x = 1

One solution was found :

x = 1