Solve 4x − 11 = −7

The solution of 4x − 11 = −7 is x = 1.

4x - 11 = -7\ \Rightarrow\ x = 1

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The lines y = 4x − 11 and y = -7 meet at x = 1. 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 subtraction, then the multiplication.
$4x - 11 = -7$
2
Add 11 to both sides:
$4x - 11 + 11 = -7 + 11 \ \Rightarrow\ 4x = 4$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{4}{4} \ \Rightarrow\ x = 1$
4
Check: put x = 1 back into the equation.
$4\cdot1 - 11 = 4 - 11 = -7 \checkmark$

LaTeX source of the formulas on this page

\[ 4x - 11 = -7\ \Rightarrow\ x = 1 \]
\[ 4x - 11 = -7 \]
\[ 4x - 11 + 11 = -7 + 11 \ \Rightarrow\ 4x = 4 \]
\[ \frac{4x}{4} = \frac{4}{4} \ \Rightarrow\ x = 1 \]
\[ 4\cdot1 - 11 = 4 - 11 = -7 \checkmark \]

Trying values of x in 4x − 11 = −7

x	4x − 11	Equals -7?
-1	-15	no
0	-11	no
1	-7	yes
2	-3	no
3	1	no

Questions

What is x in 4x − 11 = −7?

The solution of 4x − 11 = −7 is x = 1.

How do you solve 4x − 11 = −7?

Add 11 to both sides to get 4x = 4, then divide both sides by 4 to get x = 1.

How do I check the answer?

Replace x by 1: 4(1) − 11 = -7, which is -7.

Solve 4x − 11 = −7

How to work it out

Trying values of x in 4x − 11 = −7

Questions

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