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Solve for
x.

(2x+1)/(4)-(2x+1)/(36)=-2
Answer:

Solve for $\mathrm{x}$ . $\newline$ $\frac{2 x+1}{4}-\frac{2 x+1}{36}=-2$ $\newline$ Answer:

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Solve two-step equations with parentheses

Full solution

Q. Solve for

\mathrm{x}

.

\newline

\frac{2 x+1}{4}-\frac{2 x+1}{36}=-2

\newline

Answer:

Identify common denominator: Identify the common denominator for the fractions. $\newline$ The denominators are $4$ and $36$ . The least common multiple of $4$ and $36$ is $36$ . This will be the common denominator.
Multiply by common denominator: Multiply each term by the common denominator to clear the fractions. $\newline$ Multiplying the entire equation by $36$ gives us: $\newline$ $36 \times \frac{2x+1}{4} - 36 \times \frac{2x+1}{36} = 36 \times (-2)$
Simplify by canceling denominators: Simplify the equation by canceling out the denominators. $\newline$ $(\frac{36}{4}) \times (2x+1) - (\frac{36}{36}) \times (2x+1) = -72$ $\newline$ This simplifies to: $\newline$ $9 \times (2x+1) - (2x+1) = -72$
Distribute coefficients into parentheses: Distribute the coefficients into the parentheses. $\newline$ $18x + 9 - 2x - 1 = -72$
Combine like terms: Combine like terms on the left side of the equation. $\newline$ $(18x - 2x) + (9 - 1) = -72$ $\newline$ $16x + 8 = -72$
Subtract to isolate $x$ : Subtract $8$ from both sides of the equation to isolate the term with $x$ . $16x + 8 - 8 = -72 - 8$ $16x = -80$
Divide to solve for x: Divide both sides by $16$ to solve for x. $\newline$ $\frac{16x}{16} = \frac{-80}{16}$ $\newline$ $x = -5$

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