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[tex]\sf{x \: = \: 2}[/tex]
[tex]\sf{Expand \: 5(2x \: + \: 1): \: 10x \: + \: 5}[/tex]
[tex]\sf{10x \: + \: 5 \: = \: 6x \: + \: 13}[/tex]
[tex]\sf{Subtract \: 5 \: from \: both \: sides:}[/tex]
[tex]\sf{10x \: + \: 5 \: - \: 5 \: = \: 6x \: + \: 13 \: - \: 5}[/tex]
[tex]\sf{Simplify:}[/tex]
[tex]\sf{10x \: = \: 6x \: + \: 8}[/tex]
[tex]\sf{Subtract \: 6x \: from \: both \: sides:}[/tex]
[tex]\sf{10x \: - \: 6x \: = \: 6x \: + \: 8 \: - \: 6x}[/tex]
[tex]\sf{Simplify:}[/tex]
[tex]\sf{4x \: = \: 8}[/tex]
[tex]\sf{Divide \: both \: sides \: by \: 4:}[/tex]
[tex]\sf{\frac{4x}{4} = \frac{8}{4}[/tex]
[tex]\sf{Simplify:}[/tex]
[tex]\sf{x \: = \: 2}[/tex]
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[tex]\underline{Answer :}[/tex]
ꜱ x ɴ ɴ ʏ ꜱ ᴏ ᴜ ʟ
Answer:
x = 2
Step-by-step explanation:
[tex]\sf 5(2x+1)=6x+13[/tex]
Let's apply the distributive property to multiply 5 by 2x+1.
[tex]\sf 10x+5=6x+13[/tex]
Subtract 6x from both sides.
[tex]\sf 10x+5-6x=13[/tex]
Combine like terms.
[tex]\sf 4x+5=13[/tex]
Subtract 5 from both sides.
[tex]\sf 4x=13-5[/tex]
[tex]\sf 4x=8[/tex]
Divide both sides by 4.
[tex]\sf x =\cfrac{8}{4} [/tex]
[tex]\sf x = 2[/tex]
