Question

solving multi - step equations | mathwithmotions
mathwithmotions? combine like terms, variables on both sides, and solve
ex) ( x + 5 ( 3 x - 4 ) = 12 x + 4 )
multiple - choice question
which of the following will you have to deal with in order to solve for x? select all that apply.
move variables to one side.
use the distributive property.
combine like terms.

Explanation:

Step1: Use the distributive property

$$x + 5(3x - 4)=x+15x - 20=16x - 20$$

Step2: Move variables to one side

$$16x - 20=12x + 4$$
Subtract \(12x\) from both sides:
$$16x-12x - 20=12x-12x + 4$$
$$4x-20 = 4$$

Step3: Combine like terms

Add \(20\) to both sides:
$$4x-20 + 20=4 + 20$$
$$4x=24$$
Divide both sides by \(4\):
$$x = 6$$

Answer:

All the options (Combine like terms, Use the distributive property, Move variables to one side) apply.