If 2(x - 6) = 10, what is the value of x + 4? — SAT

If $2(x - 6) = 10$ , what is the value of $x + 4$ ?

The correct answer is 15. Isolating the variable in the equation

2(x - 6) = 10

can be done by first dividing both sides by 2, which gives

x - 6 = 5

. Adding 6 to both sides yields

x = 11

. Substituting this value into the expression

x + 4

results in

11 + 4 = 15

. Alternatively, distributing the 2 gives

2x - 12 = 10

, and adding 12 to both sides gives

2x = 22

, which leads to

x = 11

and thus

x + 4 = 15

Distribute the 2 to the terms inside the parentheses on the left side of the equation.

2x - 12 = 10

To remove the parentheses and prepare to isolate the variable term.

Add 12 to both sides of the equation.

2x = 22

To isolate the variable term

2x

on the left side of the equation.

Divide both sides of the equation by 2.

x = 11

To find the value of

x

Substitute the value of

x

into the expression

x + 4

11 + 4 = 15

To find the final value requested by the question.

Solving linear equations in one variable by applying the distributive property, isolating the variable, and evaluating an expression.

Instead of distributing first, divide both sides of the equation

2(x - 6) = 10

by 2 directly to get

x - 6 = 5

. Then, add 10 to both sides of the equation

x - 6 = 5

to get the value of

x + 4

directly:

(x - 6) + 10 = 5 + 10 \Rightarrow x + 4 = 15

Estimated Time:45s

Question