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lesya [120]
3 years ago
14

7x-5=8(x*3) what value of x makes this equation true

Mathematics
2 answers:
hram777 [196]3 years ago
8 0

The given equation is:

\displaystyle 7x-5=8(x+3)

The first step you need to do is open the parentheses and distribute the 8 to x+3. It will be 8 times x and 3 times x.

8(x+3)=8 \times x+ 8 \times 3\\\\8 \times x=8x\\8 \times 3=24

8(x+3) \rightarrow 8x+24

Rewrite the equation:

7x-5=8x+24

Now you need to move one of the variables to the other side.

If you move 7x to the other side, then:

You can move the variable by doing the opposite of it. Since 7x is positive, you can move it by subtracting 7x, which is negative. Subtract 7x on both sides:

7x-5-7x=8x+24-7x\\-5=x+24

Now you need to leave x alone. x is being added to 24, so remove it by subtracting both sides by 24. Remember that when you're subtracting from a negative number, you're actually adding while keeping the negative sign.

-5-24=x+24-24

Subtract:

\bf-29=x

If you move 8x to the other side, then:

8x is positive, so you can move it by subtracting 8x, which is negative. Subtract 8x on both sides:

7x-5-8x=8x+24-8x\\-x-5=24

You need to leave the variable alone, so move -5 to the other side. You can do this by adding 5 to both sides.

-x-5+5=24+5\\-x=29

Lastly, x is negative, but you're looking for the value of positive x. Divide both sides by -1 to remove the negative sign.

\displaystyle \frac{-x}{-1} =\frac{29}{-1}

Remember that a positive number divided by a negative number is negative. Divide:

\bf x=-29

The answer to your question is x = -29.

noname [10]3 years ago
4 0

Step-by-step explanation:

<h3><u>Ques</u><u>tion</u><u>:</u><u>-</u></h3>

Solve for x

\\ \tt{:}\leadsto 7x-5=8(x+3)

<h3><u>SOL</u><u>UTION</u><u>:</u><u>-</u></h3>

\\ \tt{:}\leadsto 7x-5=8(x+3)

\\ \tt{:}\leadsto 7x-5=8x+24

\\ \tt{:}\leadsto 7x-8x=24+5

\\ \tt{:}\leadsto -x=29

\\ \tt{:}\leadsto x=29

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