Question

1. Solve for x. Show your solution and justify every step.

Equation. Justification
4(x - 3) + 5 = 17. Given​

Answer 1

Given:

The equation is

$4(x-3)+5=17$

To find:

The solution of given equation.

Solution:

We have,

$4(x-3)+5=17$

Using distributive property, we get

$4(x)+4(-3)+5=17$

$4x-12+5=17$

$4x-7=17$

Adding 7 on both sides, we get

$4x-7+7=17+7$

$4x=24$

Divide both sides by 4.

$x=\dfrac{24}{4}$

$x=6$

Therefore, the value of x is 6.