Question

Solve for x:

2(x-6)=14(3-9)

Answer 1

x = -36

Explanation:

Subtract 9 from 3.2(x−6)=14⋅−6

Multiply 14 by −6.2(x−6)=−84

Divide each term

Simplify the left side.

Move all terms not containing x to the right side of the equation.

x = -42 + 6

Add -42 & 6

x = -36

Answer 2

Let’s rewrite the equation first:

2(x - 6) = 14(3 - 9)

Let’s solve this through steps. The first step is to distribute:

2x - 12 = 42 - 126

Now, let’s add 12 to both sides:

2x - 12 + 12 = 42 - 126 + 12

2x = 42 - 114

Now, let’s divide 2 from both sides:

2x / 2 = (42 / 2) - (114 / 2)

x = 21 - 57

21 - 57 = -36

x = -36