Solve for x : 2-6(-3x+1)=-(-4x-2)+8 Answer: x=

Distribute and Simplify: Distribute the -6 inside the parentheses on the left side of the equation. 2 - 6 * -3x + 6 * 1 = -(-4x - 2) + 8 2 + 18x + 6 = 4x + 2 + 8Combine Like Terms: Combine like terms on the left side of the equation. 2 + 6 + 18x = 4x + 2 + 8 8 + 18x = 4x + 10Subtract and Rearrange: Subtract 4x from both sides to get all x terms on one side. 8 + 18x - 4x = 4x + 10 - 4x 8 + 14x = 10Isolate x Term: Subtract 8 from both sides to isolate the x term. 8 + 14x - 8 = 10 - 8 14x = 2Solve for x: Divide both sides by 14 to solve for x. 14x / 14 = 2 / 14 x = 2 / 14Final Answer: Simplify the fraction on the right side. x = 1 / 7

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Math Problems

Grade 8

Solve equations with the distributive property

Full solution

Q. Solve for

x

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2-6(-3 x+1)=-(-4 x-2)+8

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Answer:

x=

Distribute and Simplify: Distribute the $-6$ inside the parentheses on the left side of the equation. $\newline$ $2 - 6 \times -3x + 6 \times 1 = -(-4x - 2) + 8$ $\newline$ $2 + 18x + 6 = 4x + 2 + 8$
Combine Like Terms: Combine like terms on the left side of the equation. $\newline$ $2 + 6 + 18x = 4x + 2 + 8$ $\newline$ $8 + 18x = 4x + 10$
Subtract and Rearrange: Subtract $4x$ from both sides to get all $x$ terms on one side. $\newline$ $8 + 18x - 4x = 4x + 10 - 4x$ $\newline$ $8 + 14x = 10$
Isolate x Term: Subtract $8$ from both sides to isolate the x term. $\newline$ $8 + 14x - 8 = 10 - 8$ $\newline$ $14x = 2$
Solve for x: Divide both sides by $14$ to solve for x. $\newline$ $\frac{14x}{14} = \frac{2}{14}$ $\newline$ $x = \frac{2}{14}$
Final Answer: Simplify the fraction on the right side. $x = \frac{1}{7}$