Solve for x in simplest form. 1=(1)/(2)(x+6) Answer:

Understand the equation: Understand the equation. We are given the equation 1 = (1)/(2)(x+6). We need to solve for x.Multiply to eliminate fraction: Multiply both sides of the equation by 2(x+6) to eliminate the fraction. 1 * 2(x+6) = (1)/(2)(x+6) * 2(x+6)Simplify both sides: Simplify both sides of the equation. 2(x+6) = 1Distribute on left side: Distribute 2 on the left side of the equation. 2x + 12 = 1Subtract to isolate term: Subtract 12 from both sides of the equation to isolate the term with x. 2x + 12 - 12 = 1 - 12Divide to solve for x: Simplify both sides of the equation. 2x = -11Find value of x: Divide both sides of the equation by 2 to solve for x. 2x / 2 = -11 / 2Simplify both sides of the equation to find the value of x. x = -11 / 2

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Math Problems

Grade 7

Powers with decimal and fractional bases

Full solution

Q. Solve for

\mathrm{x}

in simplest form.

\newline

1=\frac{1}{2}(x+6)

\newline

Answer:

Understand the equation: Understand the equation. $\newline$ We are given the equation $1 = \frac{1}{2}(x+6)$ . We need to solve for $x$ .
Multiply to eliminate fraction: Multiply both sides of the equation by $2(x+6)$ to eliminate the fraction. $\newline$ $1 \times 2(x+6) = \frac{1}{2}(x+6) \times 2(x+6)$
Simplify both sides: Simplify both sides of the equation. $2(x+6) = 1$
Distribute on left side: Distribute $2$ on the left side of the equation. $\newline$ $2x + 12 = 1$
Subtract to isolate term: Subtract $12$ from both sides of the equation to isolate the term with $x$ . $\newline$ $2x + 12 - 12 = 1 - 12$
Divide to solve for $x$ : Simplify both sides of the equation. $2x = -11$
Find value of x: Divide both sides of the equation by $2$ to solve for x. $\newline$ $\frac{2x}{2} = \frac{-11}{2}$
Find value of x: Divide both sides of the equation by $2$ to solve for x. $\newline$ $\frac{2x}{2} = \frac{-11}{2}$ Simplify both sides of the equation to find the value of x. $\newline$ $x = \frac{-11}{2}$