Solve for x : -6(x+2.2)=-4(x+3.7)-8 Answer: x=

Distribute and Simplify: Distribute the -6 and -4 into the parentheses. -6 * x + (-6) * 2.2 = -4 * x + (-4) * 3.7 - 8 -6x - 13.2 = -4x - 14.8 - 8Combine Like Terms: Combine like terms on the right side of the equation. -6x - 13.2 = -4x - 22.8Add 4x to Both Sides: Add 4x to both sides to get all x terms on one side. -6x + 4x - 13.2 = -4x + 4x - 22.8 -2x - 13.2 = -22.8Add 13.2 to Both Sides: Add 13.2 to both sides to isolate the x term. -2x - 13.2 + 13.2 = -22.8 + 13.2 -2x = -9.6Divide by -2: Divide both sides by -2 to solve for x. -2x / -2 = -9.6 / -2 x = 4.8

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Math Problems

Grade 8

Solve equations with the distributive property

Full solution

Q. Solve for

x

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-6(x+2.2)=-4(x+3.7)-8

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Answer:

x=

Distribute and Simplify: Distribute the $-6$ and $-4$ into the parentheses. $\newline$ $-6 \times x + (-6) \times 2.2 = -4 \times x + (-4) \times 3.7 - 8$ $\newline$ $-6x - 13.2 = -4x - 14.8 - 8$
Combine Like Terms: Combine like terms on the right side of the equation. $\newline$ $-6x - 13.2 = -4x - 22.8$
Add $4x$ to Both Sides: Add $4x$ to both sides to get all $x$ terms on one side. $\newline$ $-6x + 4x - 13.2 = -4x + 4x - 22.8$ $\newline$ $-2x - 13.2 = -22.8$
Add $13$ . $2$ to Both Sides: Add $13.2$ to both sides to isolate the $x$ term. $\newline$ $-2x - 13.2 + 13.2 = -22.8 + 13.2$ $\newline$ $-2x = -9.6$
Divide by $-2$ : Divide both sides by $-2$ to solve for $x$ . $\newline$ $\frac{-2x}{-2} = \frac{-9.6}{-2}$ $\newline$ $x = 4.8$