Solve for x : 4+5.4(x+5)=-x+5.6(x-1) Answer: x=

Distribute and Simplify: First, distribute the 5.4 into the parentheses on the left side of the equation and the 5.6 into the parentheses on the right side. 4 + 5.4(x) + 5.4(5) = -x + 5.6(x) + 5.6(-1) 4 + 5.4x + 27 = -x + 5.6x - 5.6Combine Like Terms: Next, combine like terms on each side of the equation. 5.4x + 31 = 5.6x - x - 5.6 5.4x + 31 = 4.6x - 5.6Isolate x Terms: Now, move all terms containing x to one side of the equation and the constant terms to the other side. 5.4x - 4.6x = -5.6 - 31 0.8x = -36.6Solve for x: Finally, solve for x by dividing both sides of the equation by 0.8. x = -36.6 / 0.8 x = -45.75

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Solve for
x :

4+5.4(x+5)=-x+5.6(x-1)
Answer:
x=

Solve for $x$ : $\newline$ $4+5.4(x+5)=-x+5.6(x-1)$ $\newline$ Answer: $x=$

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Algebra 1

Solve linear equations: mixed review

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Q. Solve for

x

\newline

4+5.4(x+5)=-x+5.6(x-1)

\newline

Answer:

x=

Distribute and Simplify: First, distribute the $5.4$ into the parentheses on the left side of the equation and the $5.6$ into the parentheses on the right side. $\newline$ $4 + 5.4(x) + 5.4(5) = -x + 5.6(x) + 5.6(-1)$ $\newline$ $4 + 5.4x + 27 = -x + 5.6x - 5.6$
Combine Like Terms: Next, combine like terms on each side of the equation. $\newline$ $5.4x + 31 = 5.6x - x - 5.6$ $\newline$ $5.4x + 31 = 4.6x - 5.6$
Isolate x Terms: Now, move all terms containing $x$ to one side of the equation and the constant terms to the other side. $5.4x - 4.6x = -5.6 - 31$ $0.8x = -36.6$
Solve for x: Finally, solve for x by dividing both sides of the equation by $0.8$ . $\newline$ $x = \frac{-36.6}{0.8}$ $\newline$ $x = -45.75$