Solve for x : -5x-3(x+3.1)=0.8(5x+9)-x Answer: x=

Distribute -3: Distribute the -3 into the parentheses on the left side of the equation. -5x - 3(x + 3.1) = -5x - 3x - 9.3Distribute 0.8: Distribute the 0.8 into the parentheses on the right side of the equation. 0.8(5x + 9) - x = 4x + 7.2 - xCombine like terms: Combine like terms on both sides of the equation. On the left side: -5x - 3x = -8x On the right side: 4x - x = 3x So, -8x - 9.3 = 3x + 7.2Add 8x: Add 8x to both sides to get all x terms on one side. -8x - 9.3 + 8x = 3x + 7.2 + 8x -9.3 = 11x + 7.2Subtract 7.2: Subtract 7.2 from both sides to isolate the x term. -9.3 - 7.2 = 11x + 7.2 - 7.2 -16.5 = 11xDivide by 11: Divide both sides by 11 to solve for x. -16.5 / 11 = 11x / 11 x = -1.5

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Solve for
x :

-5x-3(x+3.1)=0.8(5x+9)-x
Answer:
x=

Solve for $x$ : $\newline$ $-5 x-3(x+3.1)=0.8(5 x+9)-x$ $\newline$ Answer: $x=$

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Math Problems

Grade 8

Solve equations with the distributive property

Full solution

Q. Solve for

x

\newline

-5 x-3(x+3.1)=0.8(5 x+9)-x

\newline

Answer:

x=

Distribute $-3$ : Distribute the $-3$ into the parentheses on the left side of the equation. $\newline$ $-5x - 3(x + 3.1) = -5x - 3x - 9.3$
Distribute $0$ . $8$ : Distribute the $0.8$ into the parentheses on the right side of the equation. $\newline$ $0.8(5x + 9) - x = 4x + 7.2 - x$
Combine like terms: Combine like terms on both sides of the equation. $\newline$ On the left side: $-5x - 3x = -8x$ $\newline$ On the right side: $4x - x = 3x$ $\newline$ So, $-8x - 9.3 = 3x + 7.2$
Add $8x$ : Add $8x$ to both sides to get all $x$ terms on one side. $\newline$ $-8x - 9.3 + 8x = 3x + 7.2 + 8x$ $\newline$ $-9.3 = 11x + 7.2$
Subtract $7$ . $2$ : Subtract $7.2$ from both sides to isolate the $x$ term. $\newline$ $-9.3 - 7.2 = 11x + 7.2 - 7.2$ $\newline$ $-16.5 = 11x$
Divide by $11$ : Divide both sides by $11$ to solve for $x$ . $-16.5 / 11 = 11x / 11$ $x = -1.5$