Solve the equation (1)/(2)(16 x-6)=2 A. (1)/(2) B. (3)/(5) C. (5)/(8) D. (7)/(10)

Multiply by 2: Multiply both sides of the equation by 2 to eliminate the fraction. (1/2)(16x - 6) * 2 = 2 * 2 16x - 6 = 4Add 6: Add 6 to both sides of the equation to isolate the term with the variable x. 16x - 6 + 6 = 4 + 6 16x = 10Divide by 16: Divide both sides of the equation by 16 to solve for x. 16x / 16 = 10 / 16 x = 10 / 16Simplify fraction: Simplify the fraction 10/16 by dividing both the numerator and the denominator by their greatest common divisor, which is 2. x = (10 / 2) / (16 / 2) x = 5 / 8

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Solve the equation
(1)/(2)(16 x-6)=2
A.
(1)/(2)
B.
(3)/(5)
C.
(5)/(8)
D.
(7)/(10)

Solve the equation $\frac{1}{2}(16 x-6)=2$ $\newline$ A. $\frac{1}{2}$ $\newline$ B. $\frac{3}{5}$ $\newline$ C. $\frac{5}{8}$ $\newline$ D. $\frac{7}{10}$

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Math Problems

Precalculus

Operations with rational exponents

Full solution

Q. Solve the equation

\frac{1}{2}(16 x-6)=2

\newline

\frac{1}{2}

\newline

\frac{3}{5}

\newline

\frac{5}{8}

\newline

\frac{7}{10}

Multiply by $2$ : Multiply both sides of the equation by $2$ to eliminate the fraction. $\newline$ $(\frac{1}{2})(16x - 6) \times 2 = 2 \times 2$ $\newline$ $16x - 6 = 4$
Add $6$ : Add $6$ to both sides of the equation to isolate the term with the variable $x$ . $\newline$ $16x - 6 + 6 = 4 + 6$ $\newline$ $16x = 10$
Divide by $16$ : Divide both sides of the equation by $16$ to solve for $x$ . $\frac{16x}{16} = \frac{10}{16}$ $x = \frac{10}{16}$
Simplify fraction: Simplify the fraction $\frac{10}{16}$ by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ . $\newline$ $x = \frac{(10 / 2)}{(16 / 2)}$ $\newline$ $x = \frac{5}{8}$