Bimbigadro09idn
Answered

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2(3×+2)=10 what is the value of × and show the solution​

Sagot :

Darkcrystal93idn

Answer:

X=4/3

Step-by-step explanation:

2(3x+2)=10

6x+2=10

6x=10-2

6x=8

6x/6 =8/6

Cancel the six so that only x is left

X=4/3

Aenahidn

Answer:

[tex]\huge \boxed{x=1}[/tex]

Question

What is the value of [tex]x[/tex] in [tex]2(3x+2)=10[/tex]? Show your solution.

Solution

To get the value of x, first, we need to expand the equation by distributing 2 to the terms enclosed in parenthesis.

[tex]2(3x+2)=10\\2(3x)+2(2)=10\\6x+4=10[/tex]

Then, group the similar terms by transposing the constant terms (terms that contain an integer only) to the other side of the equation.

[tex]6x=10-4\\6x=6[/tex]

Divide both sides by 6 to remove the coefficient of [tex]x[/tex].

[tex]\dfrac{6x}{6}=\dfrac{6}{6}\\x=1[/tex]

Therefore, [tex]\bold{x=1}[/tex].

Short Solution

[tex]2(3x+2)=10\\2(3x)+2(2)=10\\6x+4=10\\ 6x=10-4\\6x=6\\ \dfrac{6x}{6}=\dfrac{6}{6}\\x=1[/tex]

To Check

Substitute [tex]x=1[/tex] to the original equation.

[tex]2(3(1)+2)=10\\2(3+2)=10\\2(5)=10\\10=10[/tex]

Since both sides have the same results, then, [tex]x=1[/tex] is correct.

How is it? (((o(*°▽°*)o)))

Happy learning!