Solve for x. (3x+8)/(4)=(x-1)/(9) Answer:

Cross Multiply Fractions: Cross multiply to eliminate the fractions. Multiply both sides of the equation by the denominators 4 and 9 to get rid of the fractions. (3x + 8) * 9 = (x - 1) * 4Distribute Multiplication: Distribute the multiplication over addition on both sides. 27x + 72 = 4x - 4Combine Like Terms: Get all terms with x on one side and constants on the other side. Subtract 4x from both sides to move the x terms to one side. 27x - 4x + 72 = 4x - 4x - 4Simplify Equation: Simplify both sides of the equation. 23x + 72 = -4Move Constant Term: Move the constant term on the x side to the other side. Subtract 72 from both sides to isolate the x term. 23x + 72 - 72 = -4 - 72Isolate X Term: Simplify the equation to find the value of x. 23x = -76Divide by Coefficient: Divide both sides by the coefficient of x to solve for x. x = -76 / 23

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Solve for
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(3x+8)/(4)=(x-1)/(9)
Answer:

Solve for $\mathrm{x}$ . $\newline$ $\frac{3 x+8}{4}=\frac{x-1}{9}$ $\newline$ Answer:

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Math Problems

Grade 8

Solve equations with the distributive property

Full solution

Q. Solve for

\mathrm{x}

\newline

\frac{3 x+8}{4}=\frac{x-1}{9}

\newline

Answer:

Cross Multiply Fractions: Cross multiply to eliminate the fractions. $\newline$ Multiply both sides of the equation by the denominators $4$ and $9$ to get rid of the fractions. $\newline$ $(3x + 8) \times 9 = (x - 1) \times 4$
Distribute Multiplication: Distribute the multiplication over addition on both sides. $\newline$ $27x + 72 = 4x - 4$
Combine Like Terms: Get all terms with $x$ on one side and constants on the other side. $\newline$ Subtract $4x$ from both sides to move the $x$ terms to one side. $\newline$ $27x - 4x + 72 = 4x - 4x - 4$
Simplify Equation: Simplify both sides of the equation. $23x + 72 = -4$
Move Constant Term: Move the constant term on the $x$ side to the other side. $\newline$ Subtract $72$ from both sides to isolate the $x$ term. $\newline$ $23x + 72 - 72 = -4 - 72$
Isolate X Term: Simplify the equation to find the value of $x$ . $23x = -76$
Divide by Coefficient: Divide both sides by the coefficient of $x$ to solve for $x$ . $x = \frac{-76}{23}$