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Solve for
x :

10+5(-5.1 x-4.6)-8.5 x=4
Answer:
x=

Solve for $x$ : $\newline$ $10+5(-5.1 x-4.6)-8.5 x=4$ $\newline$ Answer: $x=$

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Solve one-step addition and subtraction equations with decimals and fractions

Full solution

Q. Solve for

x

:

\newline

10+5(-5.1 x-4.6)-8.5 x=4

\newline

Answer:

x=

Distribute and Simplify: First, distribute the $5$ into the terms inside the parentheses. $\newline$ $5 \times (-5.1x) + 5 \times (-4.6) = -25.5x - 23$ $\newline$ So the equation becomes: $\newline$ $10 - 25.5x - 23 - 8.5x = 4$
Combine Like Terms: Combine like terms on the left side of the equation. $\newline$ $10 - 23 = -13$ $\newline$ $-25.5x - 8.5x = -34x$ $\newline$ Now the equation is: $\newline$ $-13 - 34x = 4$
Isolate x Term: Add $13$ to both sides to isolate the term with $x$ on one side. $\newline$ $-13 + 13 - 34x = 4 + 13$ $\newline$ $-34x = 17$
Solve for x: Divide both sides by $-34$ to solve for x. $\newline$ $x = \frac{17}{-34}$ $\newline$ $x = -0.5$

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