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Solve 7x + 10 = 122

The solution of 7x + 10 = 122 is x = 16.

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The lines y = 7x + 10 and y = 122 meet at x = 161012141618202280100120140160x = 16y = 7x + 10y = 122
The lines y = 7x + 10 and y = 122 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+10=1227x + 10 = 122
  2. 2

    Subtract 10 from both sides:

    7x+10−10=122−10 ⇒ 7x=1127x + 10 - 10 = 122 - 10 \ \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+10=112+10=122✓7\cdot16 + 10 = 112 + 10 = 122 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 10 = 122\ \Rightarrow\ x = 16 \]
\[ 7x + 10 = 122 \]
\[ 7x + 10 - 10 = 122 - 10 \ \Rightarrow\ 7x = 112 \]
\[ \frac{7x}{7} = \frac{112}{7} \ \Rightarrow\ x = 16 \]
\[ 7\cdot16 + 10 = 112 + 10 = 122 \checkmark \]

Trying values of x in 7x + 10 = 122

x7x + 10Equals 122?
14108no
15115no
16122yes
17129no
18136no

Questions

What is x in 7x + 10 = 122?

The solution of 7x + 10 = 122 is x = 16.

How do you solve 7x + 10 = 122?

Subtract 10 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) + 10 = 122, which is 122.

Similar equations

    Solve 7x + 10 = 122: x = 16 (steps and check) | WordGPT