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

-7(3x-7)=-7x+21

Solve the following equation for $x$ . Express your answer in the simplest form. $\newline$ $-7(3 x-7)=-7 x+21$ $\newline$

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Write a polynomial from its roots

Full solution

Q. Solve the following equation for

x

. Express your answer in the simplest form.

\newline

-7(3 x-7)=-7 x+21

\newline

Distribute and Simplify: First, distribute the $-7$ on the left side of the equation to both terms inside the parentheses. $\newline$ $-7 \times 3x = -21x$ $\newline$ $-7 \times -7 = 49$ $\newline$ So the equation becomes: $\newline$ $-21x + 49 = -7x + 21$
Combine Like Terms: Next, we want to get all the $x$ terms on one side and the constant terms on the other side. To do this, we can add $7x$ to both sides of the equation. $\newline$ $-21x + 49 + 7x = -7x + 21 + 7x$ $\newline$ This simplifies to: $\newline$ $-14x + 49 = 21$
Isolate X Term: Now, we want to isolate the $x$ term by moving the constant term on the left side to the right side. We can do this by subtracting $49$ from both sides of the equation. $-14x + 49 - 49 = 21 - 49$ This simplifies to: $-14x = -28$
Solve for X: To solve for x, we need to divide both sides of the equation by -14＂).\(\newline\$-14x / -14 = -28 / -14\)\(\newline\)This simplifies to:\(\newline\)\(x = 2\)

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