QuestionAugust 26, 2025

Solve for x. 5(3x+1)-2x+4=22 Answer Attempt 1 out of 2 x=square

Solve for x. 5(3x+1)-2x+4=22 Answer Attempt 1 out of 2 x=square
Solve for x.
5(3x+1)-2x+4=22
Answer
Attempt 1 out of 2
x=square

Solution
4.4(90 votes)

Answer

x = 1 Explanation 1. Distribute the 5 Multiply 5 by each term inside the parentheses: 5(3x + 1) = 15x + 5. 2. Simplify the equation Substitute back into the equation: 15x + 5 - 2x + 4 = 22. 3. Combine like terms Combine 15x and -2x: 13x + 9 = 22. 4. Isolate the variable term Subtract 9 from both sides: 13x = 13. 5. Solve for x Divide both sides by 13: x = \frac{13}{13} = 1.

Explanation

1. Distribute the 5<br /> Multiply 5 by each term inside the parentheses: $5(3x + 1) = 15x + 5$.<br /><br />2. Simplify the equation<br /> Substitute back into the equation: $15x + 5 - 2x + 4 = 22$.<br /><br />3. Combine like terms<br /> Combine $15x$ and $-2x$: $13x + 9 = 22$.<br /><br />4. Isolate the variable term<br /> Subtract 9 from both sides: $13x = 13$.<br /><br />5. Solve for x<br /> Divide both sides by 13: $x = \frac{13}{13} = 1$.
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