Hello!
Step 1: Simplify both sides of the equation.
1.5(x+4)−3=4.5(x−2)
(1.5)(x)+(1.5)(4)+−3=(4.5)(x)+(4.5)(−2)(Distribute)
1.5x+6+−3=4.5x+−9
(1.5x)+(6+−3)=4.5x−9(Combine Like Terms)
1.5x+3=4.5x−9
Step 2: Subtract 4.5x from both sides.
1.5x+3−4.5x=4.5x−9−4.5x
−3x+3=−9
Step 3: Subtract 3 from both sides.
−3x+3−3=−9−3
−3x=−12
Step 4: Divide both sides by -3.
−3x−3=−12−3
x=4
Hope this helps! Cheerio, and have a lovely day!