Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for $m$ . $\newline$ $4m + 2 = 4\left(\frac{1}{2}m - \frac{1}{4}\right)$ $\newline$ $m =$ __

View step-by-step help

View step-by-step help

Solve multi-step equations with fractional coefficients

Full solution

Q. Solve for

m

.

\newline

4m + 2 = 4\left(\frac{1}{2}m - \frac{1}{4}\right)

\newline

m =

__

Distribute $4$ : Distribute $4$ on the right side of the equation. $\newline$ Calculation: $4(\frac{1}{2}m - \frac{1}{4}) = 4 \times \frac{1}{2}m - 4 \times \frac{1}{4} = 2m - 1$ $\newline$ New Equation: $4m + 2 = 2m - 1$
Subtract $2m$ : Subtract $2m$ from both sides to isolate terms with $m$ on one side. $\newline$ Calculation: $4m + 2 - 2m = 2m - 1 - 2m$ $\newline$ Simplified Equation: $2m + 2 = -1$
Subtract $2$ : Subtract $2$ from both sides to solve for $m$ . $\newline$ Calculation: $2m + 2 - 2 = -1 - 2$ $\newline$ Simplified Equation: $2m = -3$
Divide by $2$ : Divide both sides by $2$ to find $m$ . $\newline$ Calculation: $\frac{2m}{2} = \frac{-3}{2}$ $\newline$ $m = -1.5$

More problems from Solve multi-step equations with fractional coefficients

Question

Write the sentence as an equation.

\newline

138

is equal to the quotient of

w

30

\newline

/

) if you want to use a division sign.

\newline

Posted 2 months ago

Question

\newline

(\frac{2}{7})x= -14

\newline

x =

Posted 3 months ago

Question

(\frac{8}{5})x= 32

Posted 3 months ago

Question

\newline

2+2

\newline

Posted 3 days ago

Question

-27x+18y=54

Posted 4 months ago

Question

\newline

48.5-0.434=

Posted 4 months ago

Question

\newline

96.7-0.163=

Posted 4 months ago

Question

\newline

4.43-0.283=

Posted 4 months ago

Question

\newline

3.05-0.338=

Posted 4 months ago

Question

\newline

6.168-0.432=

Posted 4 months ago