Question

Suppose x = 5 is a solution to the equation 4x − 3(x + a) = 2. Find the value of a that makes the equation true.

Answer 1

Answer:

$a = 1$

Step-by-step explanation:

Given

$4x - 3(x + a) = 2$

$x = 5$

Required

Determine the value of a

$4x - 3(x + a) = 2$

Substitute 5 for x

$4(5) - 3(5 + a) = 2$

Open all brackets

$20 - 15 - 3a = 2$

$5 - 3a = 2$

Collect Like Terms

$-3a = 2 - 5$

$-3a = -3$

Solve for a

$a = -3/-3$

$a = 1$