Solve for x : -1+10(x-1)=-(-3x-7)-x Answer: x=

Distribute and Simplify: First, distribute the 10 into the parentheses on the left side of the equation. -1 + 10(x - 1) = -(-3x - 7) - x -1 + 10x - 10 = 3x + 7 - xCombine Like Terms: Now, combine like terms on both sides of the equation. (10x - 10 + 1) = (3x - x + 7) 10x - 9 = 2x + 7Move Terms: Next, move the variable terms to one side and the constant terms to the other side. 10x - 2x = 7 + 9 8x = 16Divide and Solve: Finally, divide both sides by 8 to solve for x. 8x / 8 = 16 / 8 x = 2

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Solve for
x :

-1+10(x-1)=-(-3x-7)-x
Answer:
x=

Solve for $x$ : $\newline$ $-1+10(x-1)=-(-3 x-7)-x$ $\newline$ Answer: $x=$

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Algebra 1

Solve linear equations: mixed review

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Q. Solve for

x

\newline

-1+10(x-1)=-(-3 x-7)-x

\newline

Answer:

x=

Distribute and Simplify: First, distribute the $10$ into the parentheses on the left side of the equation. $\newline$ $-1 + 10(x - 1) = -(-3x - 7) - x$ $\newline$ $-1 + 10x - 10 = 3x + 7 - x$
Combine Like Terms: Now, combine like terms on both sides of the equation. $\newline$ $(10x - 10 + 1) = (3x - x + 7)$ $\newline$ $10x - 9 = 2x + 7$
Move Terms: Next, move the variable terms to one side and the constant terms to the other side. $10x - 2x = 7 + 9$ $8x = 16$
Divide and Solve: Finally, divide both sides by $8$ to solve for $x$ . $\newline$ $\frac{8x}{8} = \frac{16}{8}$ $\newline$ $x = 2$