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Assignment: 1 -Assignment 1: Linear Equations in One Variable Problem ID: PRABU74Q Solve the equation for x: 12-5(x+3)=2x-5 Write your answer as a simplified fraction , if applicable. For example, Type your answer below (fraction): square [+] You may submit work with your answer

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Assignment: 1 -Assignment 1: Linear Equations in One Variable
Problem ID: PRABU74Q
Solve the equation for x:
12-5(x+3)=2x-5
Write your answer as a simplified fraction , if applicable. For example,
Type your answer below (fraction):
square 
[+] You may submit work with your answer

Assignment: 1 -Assignment 1: Linear Equations in One Variable Problem ID: PRABU74Q Solve the equation for x: 12-5(x+3)=2x-5 Write your answer as a simplified fraction , if applicable. For example, Type your answer below (fraction): square [+] You may submit work with your answer

Solução

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PriscianeElite · Tutor por 8 anos

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To solve the equation $12-5(x+3)=2x-5$, we need to simplify both sides of the equation and isolate the variable $x$.<br /><br />Step 1: Distribute the -5 on the left side of the equation:<br />$12 - 5x - 15 = 2x - 5$<br /><br />Step 2: Combine like terms on side:<br />$-5x - 3 = 2x - 5$<br /><br />Step 3: Move all terms with $x$ to one side and constant terms to the other side:<br />$-5x - 2x = -5 + 3$<br /><br />Step 4: Combine like terms:<br />$-7x = -2$<br /><br />Step 5: Divide both sides by -7 to solve for $x$:<br />$x = \frac{-2}{-7} = \frac{2}{7}$<br /><br />Therefore, the solution to the equation $12-5(x+3)=2x-5$ is $x = \frac{2}{7}$.
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