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Solve 7x + 11 = 123

The solution of 7x + 11 = 123 is x = 16.

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The lines y = 7x + 11 and y = 123 meet at x = 161012141618202280100120140160x = 16y = 7x + 11y = 123
The lines y = 7x + 11 and y = 123 meet at x = 16. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

  1. 1

    The goal is to get x alone. Undo the operations in the opposite order: first the addition, then the multiplication.

    7x+11=1237x + 11 = 123
  2. 2

    Subtract 11 from both sides:

    7x+11−11=123−11 ⇒ 7x=1127x + 11 - 11 = 123 - 11 \ \Rightarrow\ 7x = 112
  3. 3

    Divide both sides by 7:

    7x7=1127 ⇒ x=16\frac{7x}{7} = \frac{112}{7} \ \Rightarrow\ x = 16
  4. 4

    Check: put x = 16 back into the equation.

    7⋅16+11=112+11=123✓7\cdot16 + 11 = 112 + 11 = 123 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 11 = 123\ \Rightarrow\ x = 16 \]
\[ 7x + 11 = 123 \]
\[ 7x + 11 - 11 = 123 - 11 \ \Rightarrow\ 7x = 112 \]
\[ \frac{7x}{7} = \frac{112}{7} \ \Rightarrow\ x = 16 \]
\[ 7\cdot16 + 11 = 112 + 11 = 123 \checkmark \]

Trying values of x in 7x + 11 = 123

x7x + 11Equals 123?
14109no
15116no
16123yes
17130no
18137no

Questions

What is x in 7x + 11 = 123?

The solution of 7x + 11 = 123 is x = 16.

How do you solve 7x + 11 = 123?

Subtract 11 from both sides to get 7x = 112, then divide both sides by 7 to get x = 16.

How do I check the answer?

Replace x by 16: 7(16) + 11 = 123, which is 123.

Similar equations

    Solve 7x + 11 = 123: x = 16 (steps and check) | WordGPT