Question

the linear equation $4x + 5 = 31 - (x - 4)$ are shown.$4x + 5 = 31 - (x - 4)$$x + 5 = 31 - x - 4$$+ x = 31 - 4 - 5$$5x = 22$$x = 4.4$$4x+5=31-(x-4)$eps.equation?oh.2018.q19

Explanation:

Step1: Distribute the negative sign

$4x + 5 = 31 - x + 4$

Step2: Combine constant terms

$4x + 5 = 35 - x$

Step3: Move x terms to left side

$4x + x + 5 = 35$

Step4: Move constant to right side

$5x = 35 - 5$

Step5: Simplify right side

$5x = 30$

Step6: Solve for x

$x = \frac{30}{5} = 6$

Answer:

$x=6$
(Note: The original solution had an error in distributing the negative sign: $-(x-4)$ should be $-x+4$, not $-x-4$.)