Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

3(x-2)+2(3-x)=1

$3(x-2)+2(3-x)=1$

View step-by-step help

View step-by-step help

Solve equations with the distributive property

Full solution

Q.

3(x-2)+2(3-x)=1

Distribute numbers to terms: Distribute the numbers outside the parentheses to the terms inside. $\newline$ Calculate $3(x-2)$ and $2(3-x)$ . $\newline$ $3(x-2) = 3\times x - 3\times 2 = 3x - 6$ $\newline$ $2(3-x) = 2\times 3 - 2\times x = 6 - 2x$
Write with distributed terms: Write the equation with the distributed terms. $\newline$ Combine the results from Step $1$ into the equation. $\newline$ $3x - 6 + 6 - 2x = 1$
Combine distributed terms: Combine like terms on the left side of the equation. $\newline$ Add $(3x - 2x)$ and $(-6 + 6)$ . $\newline$ $3x - 2x = x$ $\newline$ $-6 + 6 = 0$ $\newline$ So, $x + 0 = 1$
Combine like terms: Simplify the equation. $\newline$ Since $-6 + 6$ is $0$ , it cancels out, leaving $x$ on the left side. $\newline$ $x = 1$

More problems from Solve equations with the distributive property

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