Question

the equation you selected is 7(x - 4) = 4x + 5
how many solution(s) does it have?
you may use the sketch tool to show work, if you wish

○ no solution
○ one and only one solution
○ many solutions

Explanation:

Step1: Expand left-hand side

$7(x-4) = 7x - 28$

Step2: Rewrite the equation

$7x - 28 = 4x + 5$

Step3: Isolate x terms

$7x - 4x = 5 + 28$

Step4: Simplify both sides

$3x = 33$

Step5: Solve for x

$x = \frac{33}{3} = 11$

Answer:

One and only one Solution