Solve for x.

[tex]\[3x = 6x - 2\][/tex]

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You are balancing the checking account for your new lawn-care business. Based on the check register below, how much money is in the account?

\begin{tabular}{|c|c|c|c|c|c|}
\hline
\begin{tabular}{l}
Check \\ number
\end{tabular} & Date & Memo & \begin{tabular}{l}
Check \\ amount
\end{tabular} & \begin{tabular}{l}
Deposit \\ amount
\end{tabular} & Balance \\
\hline
& [tex]$2/1$[/tex] & Deposit & & 5581.22 & 5581.22 \\
\hline
101 & [tex]$7/3$[/tex] & Rent & \[tex]$27.91 & & 5553.31 \\
\hline
102 & $[/tex]7/3[tex]$ & Van repair & \$[/tex]352.81 & & 5200.50 \\
\hline
103 & [tex]$7/5$[/tex] & New mower & \[tex]$526.80 & & 4673.70 \\
\hline
104 & $[/tex]7/6[tex]$ & Gas & \$[/tex]10.00 & & 4663.70 \\
\hline
& [tex]$7/31$[/tex] & Deposit & & 5330.67 & 9994.37 \\
\hline
\end{tabular}

a. \[tex]$330.67
b. \$[/tex]356.52
c. \[tex]$555.37
d. \$[/tex]581.22
e. \$911.89



Answer :

To balance the checking account for your new lawn-care business, we must add up all the transactions provided in the register, starting from the initial balance and incorporating each transaction in sequence. We have:

1. Initial balance: \[tex]$5581.22 2. Transaction from Check 101: \$[/tex]-27.91 (Check 101 amount was written out)

3. Transaction from Check 102: \[tex]$-352.81 (Check 102 amount was also written out) 4. Transaction from Check 103: \$[/tex]-5265.80 (Check 103 amount was written out)

5. Transaction from Check 104: \[tex]$-10.00 (Check 104 amount was written out) 6. Deposit: \$[/tex]330.67 (Money was deposited into the account, so we add this amount)

Next, follow the steps to calculate the final balance.

Step-by-Step Addition and Subtraction:

1. Start with the initial balance:
[tex]\[ \text{Initial balance} = \$5581.22 \][/tex]

2. Subtract the amount from Check 101:
[tex]\[ \$5581.22 - \$27.91 = \$5553.31 \][/tex]

3. Subtract the amount from Check 102:
[tex]\[ \$5553.31 - \$352.81 = \$5200.50 \][/tex]

4. Subtract the amount from Check 103:
[tex]\[ \$5200.50 - \$5265.80 = -\$65.30 \][/tex]

5. Subtract the amount from Check 104:
[tex]\[ -\$65.30 - \$10.00 = -\$75.30 \][/tex]

6. Add the deposit amount:
[tex]\[ -\$75.30 + \$330.67 = \$255.37 \][/tex]

Therefore, the final balance in the checking account is:
[tex]\[ \$255.37 \][/tex]

So, the correct choice among the given options is:
c. \$255.37