Solve for x : -(9x+8)-x=-6-(8x-6) Answer: x=

Simplify Equation: First, we need to simplify both sides of the equation by distributing the negative signs and combining like terms. -(9x + 8) - x = -6 - (8x - 6) -9x - 8 - x = -6 - 8x + 6 Combine like terms on the left side. -9x - x = -10x Combine like terms on the right side. -6 + 6 = 0 So, the equation simplifies to: -10x - 8 = -8xMove Terms: Next, we will move all terms containing x to one side of the equation and constant terms to the other side. Add 8x to both sides to move the x terms to the left side. -10x + 8x - 8 = -8x + 8x -2x - 8 = 0Isolate Variable: Now, we will isolate the variable term by adding 8 to both sides of the equation. -2x - 8 + 8 = 0 + 8 -2x = 8Solve for x: Finally, we will solve for x by dividing both sides of the equation by -2. -2x / -2 = 8 / -2 x = -4

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Solve for
x :

-(9x+8)-x=-6-(8x-6)
Answer:
x=

Solve for $x$ : $\newline$ $-(9 x+8)-x=-6-(8 x-6)$ $\newline$ Answer: $x=$

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Algebra 1

Solve linear equations: mixed review

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Q. Solve for

x

\newline

-(9 x+8)-x=-6-(8 x-6)

\newline

Answer:

x=

Simplify Equation: First, we need to simplify both sides of the equation by distributing the negative signs and combining like terms. $\newline$ $- (9x + 8) - x = -6 - (8x - 6)$ $\newline$ $-9x - 8 - x = -6 - 8x + 6$ $\newline$ Combine like terms on the left side. $\newline$ $-9x - x = -10x$ $\newline$ Combine like terms on the right side. $\newline$ $-6 + 6 = 0$ $\newline$ So, the equation simplifies to: $\newline$ $-10x - 8 = -8x$
Move Terms: Next, we will move all terms containing $x$ to one side of the equation and constant terms to the other side. $\newline$ Add $8x$ to both sides to move the $x$ terms to the left side. $\newline$ $-10x + 8x - 8 = -8x + 8x$ $\newline$ $-2x - 8 = 0$
Isolate Variable: Now, we will isolate the variable term by adding $8$ to both sides of the equation. $\newline$ $-2x - 8 + 8 = 0 + 8$ $\newline$ $-2x = 8$
Solve for x: Finally, we will solve for $x$ by dividing both sides of the equation by $-2$ . $\newline$ $\frac{-2x}{-2} = \frac{8}{-2}$ $\newline$ $x = -4$