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

5(x-1)=2(6x+7)

Solve the following equation for $x$ . Express your answer in the simplest form. $\newline$ $5(x-1)=2(6 x+7)$ $\newline$

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Solve quadratic inequalities

Full solution

Q. Solve the following equation for

x

. Express your answer in the simplest form.

\newline

5(x-1)=2(6 x+7)

\newline

Distribute numbers to terms: Distribute the numbers outside the parentheses to the terms inside the parentheses. $\newline$ $5(x-1)$ becomes $5x - 5$ . $\newline$ $2(6x+7)$ becomes $12x + 14$ . $\newline$ So the equation now is $5x - 5 = 12x + 14$ .
Move terms and constants: Move all terms containing $x$ to one side of the equation and constants to the other side. Subtract $5x$ from both sides to get $-5 = 12x - 5x + 14$ . Subtract $14$ from both sides to get $-5 - 14 = 7x$ . So the equation now is $-19 = 7x$ .
Divide both sides: Divide both sides by $7$ to solve for $x$ . $\newline$ $-19 / 7 = 7x / 7$ . $\newline$ So, $x = -19 / 7$ .

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Question

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Question

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