What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x – 2)?

2 answers:

6 0

I will explain step by step how to solve for x

Remove the parenthesis using distributive property
1.5(x + 4) - 3 = 4.5(x - 2)
1.5(x) + 1.5(4) = 4.5(x) - 4.5(2)
1.5x + 6 = 4.5x - 9

Combining like-terms. Move the terms whose variable x to the left side, and move constants to the right side. Plus sign will become substract sign after being moved.
1.5x + 6 = 4.5x - 9
1.5x - 4.5x = -9 - 6
-3x = -12

Move -3 to the right side to solve for x. Multiplication becomes division after being moved to the other side
-3x = -12
x = -12/-3
x = 4

The value of x is 4

katen-ka-za [31]3 years ago

3 0

Answer:x= 4

Step-by-step explanation:

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Sliva [168]

Hello and Good Morning/Afternoon

Let's take this problem step by step.

$5=\frac{1}{3}(5x-15)\\ 5=\frac{5}{3}x-5\\ 5+5= \frac{5}{3}x-5 +5\\10=\frac{5}{3}x\\ 10 * 3 = 3* \frac{5}{3}x\\30=5x\\\frac{30}{5} =\frac{5}{5}x\\ 6=x\\x=6$

What did we do in this problem

we ensured that both sides remained equally balanced in value
took everything step-by-step to make sure that there were no mistakes
to check it, we can plug it back into the original equation to see if it works

$5=\frac{1}{3}(5(6)-15)\\ 5=\frac{1}{3} (30-15)\\5=\frac{1}{3}*15\\ 5=5 \checkmark\\$

Answer: x = 6

Hope that helps!

#LearnwithBrainly

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