Solve for x. -7+(9)/(2)=(2x-7)/(6) Answer:

Simplify left side: Simplify the left side of the equation by adding -7 and 9/2. -7 + (9/2) = -14/2 + 9/2 = -5/2Rewrite with simplified left side: Rewrite the equation with the simplified left side. -5/2 = (2x - 7)/6Cross-multiply to eliminate fractions: Cross-multiply to eliminate the fractions. -5/2 * 6 = 2x - 7Perform left side multiplication: Perform the multiplication on the left side. -5 * 3 = 2x - 7Simplify left side: Simplify the left side. -15 = 2x - 7Add 7 to isolate x term: Add 7 to both sides to isolate the term with x. -15 + 7 = 2x - 7 + 7Simplify both sides: Simplify both sides of the equation. -8 = 2xDivide both sides: Divide both sides by 2 to solve for x. -8 / 2 = 2x / 2Simplify to find x: Simplify the equation to find the value of x. -4 = x

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Solve for
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-7+(9)/(2)=(2x-7)/(6)
Answer:

Solve for $\mathrm{x}$ . $\newline$ $-7+\frac{9}{2}=\frac{2 x-7}{6}$ $\newline$ Answer:

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Math Problems

Grade 8

Solve multi-step equations with fractional coefficients

Full solution

Q. Solve for

\mathrm{x}

\newline

-7+\frac{9}{2}=\frac{2 x-7}{6}

\newline

Answer:

Simplify left side: Simplify the left side of the equation by adding $-7$ and $\frac{9}{2}$ . $-7 + \left(\frac{9}{2}\right) = -\frac{14}{2} + \frac{9}{2} = -\frac{5}{2}$
Rewrite with simplified left side: Rewrite the equation with the simplified left side. $\newline$ $-\frac{5}{2} = \frac{2x - 7}{6}$
Cross-multiply to eliminate fractions: Cross-multiply to eliminate the fractions. $\newline$ $-\frac{5}{2} \times 6 = 2x - 7$
Perform left side multiplication: Perform the multiplication on the left side. $\newline$ $-5 \times 3 = 2x - 7$
Simplify left side: Simplify the left side. $\newline$ $-15 = 2x - 7$
Add $7$ to isolate x term: Add $7$ to both sides to isolate the term with $x$ . $-15 + 7 = 2x - 7 + 7$
Simplify both sides: Simplify both sides of the equation. $\newline$ $-8 = 2x$
Divide both sides: Divide both sides by $2$ to solve for $x$ . $\newline$ $-\frac{8}{2} = \frac{2x}{2}$
Simplify to find $x$ : Simplify the equation to find the value of $x$ . $-4 = x$