Solve for x. (2x-1)/(4)-(2x+7)/(20)=7 Answer:

Find Common Denominator: Find a common denominator for the fractions. The common denominator for 4 and 20 is 20. We will multiply each term by 20 to eliminate the denominators. (2x - 1)/4 * 20 - (2x + 7)/20 * 20 = 7 * 20Simplify Equation: Simplify the equation by distributing and combining like terms. (2x - 1) * 5 - (2x + 7) * 1 = 140 10x - 5 - 2x - 7 = 140Combine Like Terms: Combine like terms on the left side of the equation. 10x - 2x - 5 - 7 = 140 8x - 12 = 140Isolate x Term: Add 12 to both sides to isolate the term with x. 8x - 12 + 12 = 140 + 12 8x = 152Solve for x: Divide both sides by 8 to solve for x. 8x / 8 = 152 / 8 x = 19

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(2x-1)/(4)-(2x+7)/(20)=7
Answer:

Solve for $\mathrm{x}$ . $\newline$ $\frac{2 x-1}{4}-\frac{2 x+7}{20}=7$ $\newline$ Answer:

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Algebra 1

Solve multi-step linear equations

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Q. Solve for

\mathrm{x}

\newline

\frac{2 x-1}{4}-\frac{2 x+7}{20}=7

\newline

Answer:

Find Common Denominator: Find a common denominator for the fractions. $\newline$ The common denominator for $4$ and $20$ is $20$ . We will multiply each term by $20$ to eliminate the denominators. $\newline$ $\frac{2x - 1}{4} \times 20 - \frac{2x + 7}{20} \times 20 = 7 \times 20$
Simplify Equation: Simplify the equation by distributing and combining like terms. $\newline$ $(2x - 1) \times 5 - (2x + 7) \times 1 = 140$ $\newline$ $10x - 5 - 2x - 7 = 140$
Combine Like Terms: Combine like terms on the left side of the equation. $\newline$ $10x - 2x - 5 - 7 = 140$ $\newline$ $8x - 12 = 140$
Isolate x Term: Add $12$ to both sides to isolate the term with $x$ . $\newline$ $8x - 12 + 12 = 140 + 12$ $\newline$ $8x = 152$
Solve for x: Divide both sides by $8$ to solve for x. $\newline$ $\frac{8x}{8} = \frac{152}{8}$ $\newline$ $x = 19$