👉 Try now NerdPal! Our new math app on iOS and Android
  1. calculators
  2. One-variable Linear Equations

One-variable linear equations Calculator

Get detailed solutions to your math problems with our One-variable linear equations step-by-step calculator. Practice your math skills and learn step by step with our math solver. Check out all of our online calculators here.

Go!
Math mode
Text mode
Go!
1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

1

Solved example of one-variable linear equations

$4x+2=10$
2

Factor the polynomial $4x+2$ by it's greatest common factor (GCF): $2$

$2\left(2x+1\right)=10$
3

Divide both sides of the equation by $2$

$\frac{2\left(2x+1\right)}{2}=\frac{10}{2}$

4

Simplifying the quotients

$2x+1=\frac{10}{2}$
5

Divide $10$ by $2$

$2x+1=5$
6

We need to isolate the dependent variable $x$, we can do that by simultaneously subtracting $1$ from both sides of the equation

$2x+1-1=5-1$

Canceling terms on both sides

$2x=5-1$

Add the values $5$ and $-1$

$2x=4$
7

Canceling terms on both sides

$2x=4$
8

Divide both sides of the equation by $2$

$\frac{2x}{2}=\frac{4}{2}$
9

Simplifying the quotients

$x=\frac{4}{2}$
10

Divide $4$ by $2$

$x=2$

Final Answer

$x=2$

Struggling with math?

Access detailed step by step solutions to thousands of problems, growing every day!