Solve for x : 7(-x+1)-5x=-(2x+8)+4 Answer: x=

Distribute and Simplify: Distribute the 7 into the parentheses on the left side of the equation. 7(-x + 1) - 5x = -(2x + 8) + 4 7 * -x + 7 * 1 - 5x = -2x - 8 + 4 -7x + 7 - 5x = -2x - 8 + 4Combine Like Terms: Combine like terms on both sides of the equation. -7x - 5x + 7 = -2x - 8 + 4 -12x + 7 = -2x - 4Add x Terms: Add 2x to both sides to get all x terms on one side. -12x + 7 + 2x = -2x - 4 + 2x -10x + 7 = -4Isolate x Term: Subtract 7 from both sides to isolate the x term. -10x + 7 - 7 = -4 - 7 -10x = -11Solve for x: Divide both sides by -10 to solve for x. -10x / -10 = -11 / -10 x = 11/10

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Solve for
x :

7(-x+1)-5x=-(2x+8)+4
Answer:
x=

Solve for $x$ : $\newline$ $7(-x+1)-5 x=-(2 x+8)+4$ $\newline$ Answer: $x=$

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Solve linear equations: mixed review

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Q. Solve for

x

\newline

7(-x+1)-5 x=-(2 x+8)+4

\newline

Answer:

x=

Distribute and Simplify: Distribute the $7$ into the parentheses on the left side of the equation. $7(-x + 1) - 5x = -(2x + 8) + 4$ $7 \cdot -x + 7 \cdot 1 - 5x = -2x - 8 + 4$ $-7x + 7 - 5x = -2x - 8 + 4$
Combine Like Terms: Combine like terms on both sides of the equation. $\newline$ $-7x - 5x + 7 = -2x - 8 + 4$ $\newline$ $-12x + 7 = -2x - 4$
Add $x$ Terms: Add $2x$ to both sides to get all $x$ terms on one side. $\newline$ $-12x + 7 + 2x = -2x - 4 + 2x$ $\newline$ $-10x + 7 = -4$
Isolate x Term: Subtract $7$ from both sides to isolate the x term. $\newline$ $-10x + 7 - 7 = -4 - 7$ $\newline$ $-10x = -11$
Solve for x: Divide both sides by $-10$ to solve for x. $\newline$ $-10x / -10 = -11 / -10$ $\newline$ $x = 11/10$