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

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

Home

Math Problems

Grade 6

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. $\newline$ $x = \frac{17}{-34}$ $\newline$ $x = -0.5$