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Solve the following equation for
x. Express your answer in the simplest form.

5x+(1)/(2)(6x-10)=-(-8x+4)-1

Solve the following equation for $x$ . Express your answer in the simplest form. $\newline$ $5 x+\frac{1}{2}(6 x-10)=-(-8 x+4)-1$ $\newline$

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Find the magnitude of a three-dimensional vector

Full solution

Q. Solve the following equation for

x

. Express your answer in the simplest form.

\newline

5 x+\frac{1}{2}(6 x-10)=-(-8 x+4)-1

\newline

Combine like terms: Combine like terms on the right side of the equation. $\newline$ $-(-8x + 4) - 1 = 8x - 4 - 1$ $\newline$ $8x - 5$
Multiply by $2$ : Multiply both sides of the equation by $2$ to eliminate the fraction. $\newline$ $2[5x + \frac{1}{2}(6x - 10)] = 2(8x - 5)$ $\newline$ $10x + (6x - 10) = 16x - 10$
Combine like terms: Combine like terms on the left side of the equation. $\newline$ $10x + 6x - 10 = 16x - 10$ $\newline$ $16x - 10 = 16x - 10$
Subtract $16x$ : Subtract $16x$ from both sides of the equation. $\newline$ $16x - 10 - 16x = 16x - 10 - 16x$ $\newline$ $-10 = -10$

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