Solve for r. (4r-6)/(r-7)=2 r=

Multiply by (r-7): Multiply both sides of the equation by (r-7) to eliminate the denominator. (4r - 6) / (r - 7) = 2 (4r - 6) = 2 * (r - 7)Distribute 2: Distribute 2 on the right side of the equation. (4r - 6) = 2r - 14Rearrange terms: Move all terms involving r to one side of the equation and constants to the other side. 4r - 2r = -14 + 6Combine like terms: Combine like terms. 2r = -8Divide by 2: Divide both sides by 2 to solve for r. r = -8 / 2 r = -4

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Math Problems

Grade 8

Solve multi-step equations with fractional coefficients

Full solution

Q. Solve for

r

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\frac{4 r-6}{r-7}=2

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r=

Multiply by $(r-7)$ : Multiply both sides of the equation by $(r-7)$ to eliminate the denominator. $\newline$ $(4r - 6) / (r - 7) = 2$ $\newline$ $(4r - 6) = 2 \times (r - 7)$
Distribute $2$ : Distribute $2$ on the right side of the equation. $\newline$ egin{equation}( $4$ r - $6$ ) = $2$ r - $14$ $\newline$ egin{equation}
Rearrange terms: Move all terms involving $r$ to one side of the equation and constants to the other side. $4r - 2r = -14 + 6$
Combine like terms: Combine like terms. $2r = -8$
Divide by $2$ : Divide both sides by $2$ to solve for $r$ . $r = -\frac{8}{2}$ $r = -4$