Solve for x : 7(2x+2)+1=1 Answer: x=

Distribute and Calculate: Simplify the equation by distributing the 7 into the parentheses. Calculate 7 * 2x and 7 * 2. 7(2x) + 7(2) + 1 = 1 14x + 14 + 1 = 1Combine Like Terms: Combine like terms on the left side of the equation. Add 14 and 1 together. 14x + 15 = 1Isolate Variable Term: Isolate the variable term by subtracting 15 from both sides of the equation. Subtract 15 from both sides. 14x + 15 - 15 = 1 - 15 14x = -14Solve for x: Solve for x by dividing both sides of the equation by 14. Divide both sides by 14. 14x / 14 = -14 / 14 x = -1

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Math Problems

Grade 8

Solve equations with the distributive property

Full solution

Q. Solve for

x

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7(2 x+2)+1=1

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Answer:

x=

Distribute and Calculate: Simplify the equation by distributing the $7$ into the parentheses. $\newline$ Calculate $7 \times 2x$ and $7 \times 2$ . $\newline$ $7(2x) + 7(2) + 1 = 1$ $\newline$ $14x + 14 + 1 = 1$
Combine Like Terms: Combine like terms on the left side of the equation. $\newline$ Add $14$ and $1$ together. $\newline$ $14x + 15 = 1$
Isolate Variable Term: Isolate the variable term by subtracting $15$ from both sides of the equation. $\newline$ Subtract $15$ from both sides. $\newline$ $14x + 15 - 15 = 1 - 15$ $\newline$ $14x = -14$
Solve for x: Solve for x by dividing both sides of the equation by $14$ . $\newline$ Divide both sides by $14$ . $\newline$ $\frac{14x}{14} = \frac{-14}{14}$ $\newline$ $x = -1$