Solve 7x + 2 = −26

The solution of 7x + 2 = −26 is x = -4.

7x + 2 = -26\ \Rightarrow\ x = -4

Explain it step by step in chat Make a short video of it

The lines y = 7x + 2 and y = -26 meet at x = -4. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

1
The goal is to get x alone. Undo the operations in the opposite order: first the addition, then the multiplication.
$7x + 2 = -26$
2
Subtract 2 from both sides:
$7x + 2 - 2 = -26 - 2 \ \Rightarrow\ 7x = -28$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-28}{7} \ \Rightarrow\ x = -4$
4
Check: put x = -4 back into the equation.
$7\cdot(-4) + 2 = -28 + 2 = -26 \checkmark$

LaTeX source of the formulas on this page

\[ 7x + 2 = -26\ \Rightarrow\ x = -4 \]
\[ 7x + 2 = -26 \]
\[ 7x + 2 - 2 = -26 - 2 \ \Rightarrow\ 7x = -28 \]
\[ \frac{7x}{7} = \frac{-28}{7} \ \Rightarrow\ x = -4 \]
\[ 7\cdot(-4) + 2 = -28 + 2 = -26 \checkmark \]

Trying values of x in 7x + 2 = −26

x	7x + 2	Equals -26?
-6	-40	no
-5	-33	no
-4	-26	yes
-3	-19	no
-2	-12	no

Questions

What is x in 7x + 2 = −26?

The solution of 7x + 2 = −26 is x = -4.

How do you solve 7x + 2 = −26?

Subtract 2 from both sides to get 7x = -28, then divide both sides by 7 to get x = -4.

How do I check the answer?

Replace x by -4: 7(-4) + 2 = -26, which is -26.

Solve 7x + 2 = −26

How to work it out

Trying values of x in 7x + 2 = −26

Questions

Similar equations