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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!
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!
The required value of x in the equation is 3.43.
Given that,
Equation is, 1.5(x + 4) – 3 = 4.5(x – 2)
We need to find,
The value of x in the equation.
According to the question,
Equation = 1.5(x + 4) – 3 = 4.5(x – 2)
Simplify the equation, to determine the value of x
[tex]= 1.5(x + 4) - 3 = 4.5( x - 2)\\= 1.5x + 6 - 3 = 4.5x - 9\\= 1.5x + 3 = 4.5x - 9\\= 1.5x - 4.5x = -9 - 3\\= -3.5x = -12\\= x = \frac{12}{3.5} \\= x = 3.42[/tex]
The value to x is 3.42.
Hence, The required value of x in the equation is 3.43.
For more information about Linear equation click the link given below.
https://brainly.com/question/11835006