Solve for x : -2(8x-1)+1=-5x-(-4x+6) Answer: x=

Distribute and Simplify: Distribute the -2 into the parentheses on the left side of the equation. -2(8x - 1) + 1 = -5x - (-4x + 6) -16x + 2 + 1 = -5x + 4x - 6Combine Like Terms: Combine like terms on both sides of the equation. -16x + 3 = -x - 6Add and Subtract: Add x to both sides to get all x terms on one side. -16x + x + 3 = -x + x - 6 -15x + 3 = -6Isolate x Term: Subtract 3 from both sides to isolate the x term. -15x + 3 - 3 = -6 - 3 -15x = -9Divide to Solve: Divide both sides by -15 to solve for x. -15x / -15 = -9 / -15 x = 9 / 15Simplify Fraction: Simplify the fraction. x = 3 / 5

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Solve for
x :

-2(8x-1)+1=-5x-(-4x+6)
Answer:
x=

Solve for $x$ : $\newline$ $-2(8 x-1)+1=-5 x-(-4 x+6)$ $\newline$ Answer: $x=$

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Algebra 1

Solve linear equations: mixed review

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Q. Solve for

x

\newline

-2(8 x-1)+1=-5 x-(-4 x+6)

\newline

Answer:

x=

Distribute and Simplify: Distribute the $-2$ into the parentheses on the left side of the equation. $-2(8x - 1) + 1 = -5x - (-4x + 6)$ $-16x + 2 + 1 = -5x + 4x - 6$
Combine Like Terms: Combine like terms on both sides of the equation. $\newline$ $-16x + 3 = -x - 6$
Add and Subtract: Add $x$ to both sides to get all $x$ terms on one side. $\newline$ $-16x + x + 3 = -x + x - 6$ $\newline$ $-15x + 3 = -6$
Isolate x Term: Subtract $3$ from both sides to isolate the x term. $\newline$ $-15x + 3 - 3 = -6 - 3$ $\newline$ $-15x = -9$
Divide to Solve: Divide both sides by $-15$ to solve for $x$ . $\newline$ $-15x / -15 = -9 / -15$ $\newline$ $x = 9 / 15$
Simplify Fraction: Simplify the fraction. $x = \frac{3}{5}$