Question 3-x-5-

1.2 Linear Equations in One Variable - Single-variable equations (multi-step)
0:00

3 x +5 (x+4)=76

What value of x is the solution to the given equation?

A.

7

B.

8

C.

56

D.

72

3 x + 5 ( x + 4 ) = 76 What value of x is

Medium-difficulty · SAT Math · Linear Equations in One Variable — Single-variable equations (multi-step). Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice A is correct. Applying the distributive property on the left-hand side of the given equation yields 3x+5x+20=76, or 8 x + 20 = 76 . Subtracting 20 from each side of this equation yields 8 x = 56 . Dividing each side of this equation by 8 yields x = 7 .

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect. This is the solution to the equation x + 4 = 76 , not 3x+5x+4=76.