<img src="https://tex.z-dn.net/?f=%5Csf%20Solve%5C%3B%20it%20%5C%3Bwith%20%5C%3Bsteps%3A-" id="TexFormula1" title="\sf Solve\; i

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2 years ago

t \;with \;steps:-" alt="\sf Solve\; it \;with \;steps:-" align="absmiddle" class="latex-formula">
$\bf 5\left(2x+1\right)=6x+13$

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Mathematics

2 answers:

aev [14]2 years ago

6 0

Hello ~

My name is Sxnnysoul, and I will be answering your question today! :D

<h2>→ Answer :-</h2>

$\sf{x \: = \: 2}$

<h2>→ Explanation :-</h2>

$\sf{Expand \: 5(2x \: + \: 1): \: 10x \: + \: 5}$

$\sf{10x \: + \: 5 \: = \: 6x \: + \: 13}$

$\sf{Subtract \: 5 \: from \: both \: sides:}$

$\sf{10x \: + \: 5 \: - \: 5 \: = \: 6x \: + \: 13 \: - \: 5}$

$\sf{Simplify:}$

$\sf{10x \: = \: 6x \: + \: 8}$

$\sf{Subtract \: 6x \: from \: both \: sides:}$

$\sf{10x \: - \: 6x \: = \: 6x \: + \: 8 \: - \: 6x}$

$\sf{Simplify:}$

$\sf{4x \: = \: 8}$

$\sf{Divide \: both \: sides \: by \: 4:}$

$\sf{\frac{4x}{4} = \frac{8}{4}$

$\sf{Simplify:}$

$\sf{x \: = \: 2}$

Hope It Helps! ~

~Learn With Sxnnysoul ~

$\underline{Answer :}$

ꜱ x ɴ ɴ ʏ ꜱ ᴏ ᴜ ʟ

Troyanec [42]2 years ago

3 0

Answer:

x = 2

Step-by-step explanation:

$\sf 5(2x+1)=6x+13$

Let's apply the distributive property to multiply 5 by 2x+1.

$\sf 10x+5=6x+13$

Subtract 6x from both sides.

$\sf 10x+5-6x=13$

Combine like terms.

$\sf 4x+5=13$

Subtract 5 from both sides.

$\sf 4x=13-5$

$\sf 4x=8$

Divide both sides by 4.

$\sf x =\cfrac{8}{4}$

$\sf x = 2$

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