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Solve 7x + 2 = 114

The solution of 7x + 2 = 114 is x = 16.

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The lines y = 7x + 2 and y = 114 meet at x = 161012141618202280100120140160x = 16y = 7x + 2y = 114
The lines y = 7x + 2 and y = 114 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+2=1147x + 2 = 114
  2. 2

    Subtract 2 from both sides:

    7x+2−2=114−2 ⇒ 7x=1127x + 2 - 2 = 114 - 2 \ \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+2=112+2=114✓7\cdot16 + 2 = 112 + 2 = 114 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 2 = 114\ \Rightarrow\ x = 16 \]
\[ 7x + 2 = 114 \]
\[ 7x + 2 - 2 = 114 - 2 \ \Rightarrow\ 7x = 112 \]
\[ \frac{7x}{7} = \frac{112}{7} \ \Rightarrow\ x = 16 \]
\[ 7\cdot16 + 2 = 112 + 2 = 114 \checkmark \]

Trying values of x in 7x + 2 = 114

x7x + 2Equals 114?
14100no
15107no
16114yes
17121no
18128no

Questions

What is x in 7x + 2 = 114?

The solution of 7x + 2 = 114 is x = 16.

How do you solve 7x + 2 = 114?

Subtract 2 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) + 2 = 114, which is 114.

Similar equations

    Solve 7x + 2 = 114: x = 16 (steps and check) | WordGPT