Solve for x. (4x+2)/(3)=(x+3)/(2) Answer:

Identify Equation: Identify the equation to solve for x. We have the equation (4x+2)/3 = (x+3)/2. We need to find the value of x that makes this equation true.Cross-Multiply: Cross-multiply to eliminate the fractions. To get rid of the fractions, we can cross-multiply. This means we multiply both sides of the equation by the denominators of the other side. (4x + 2) * 2 = (x + 3) * 3Distribute Multiplication: Distribute the multiplication over addition on both sides. Now we distribute the multiplication over addition on both sides of the equation. (4x * 2) + (2 * 2) = (x * 3) + (3 * 3) 8x + 4 = 3x + 9Move Terms: Move all x terms to one side and constant terms to the other side. We want to isolate x on one side of the equation. To do this, we subtract 3x from both sides and subtract 4 from both sides. 8x - 3x + 4 - 4 = 3x - 3x + 9 - 4 5x = 5Divide Coefficient: Divide both sides by the coefficient of x to solve for x. To isolate x, we divide both sides of the equation by 5. 5x / 5 = 5 / 5 x = 1

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Math Problems

Grade 8

Negative Exponents

Full solution

Q. Solve for

\mathrm{x}

\newline

\frac{4 x+2}{3}=\frac{x+3}{2}

\newline

Answer:

Identify Equation: Identify the equation to solve for $x$ . We have the equation $\frac{4x+2}{3} = \frac{x+3}{2}$ . We need to find the value of $x$ that makes this equation true.
Cross-Multiply: Cross-multiply to eliminate the fractions. $\newline$ To get rid of the fractions, we can cross-multiply. This means we multiply both sides of the equation by the denominators of the other side. $\newline$ $(4x + 2) \times 2 = (x + 3) \times 3$
Distribute Multiplication: Distribute the multiplication over addition on both sides. $\newline$ Now we distribute the multiplication over addition on both sides of the equation. $\newline$ $(4x \times 2) + (2 \times 2) = (x \times 3) + (3 \times 3)$ $\newline$ $8x + 4 = 3x + 9$
Move Terms: Move all $x$ terms to one side and constant terms to the other side. $\newline$ We want to isolate $x$ on one side of the equation. To do this, we subtract $3x$ from both sides and subtract $4$ from both sides. $\newline$ $8x - 3x + 4 - 4 = 3x - 3x + 9 - 4$ $\newline$ $5x = 5$
Divide Coefficient: Divide both sides by the coefficient of $x$ to solve for $x$ . To isolate $x$ , we divide both sides of the equation by $5$ . $\frac{5x}{5} = \frac{5}{5}$ $x = 1$