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Solve 7x + 1 = 120

The solution of 7x + 1 = 120 is x = 17.

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The lines y = 7x + 1 and y = 120 meet at x = 1712141618202280100120140160x = 17y = 7x + 1y = 120
The lines y = 7x + 1 and y = 120 meet at x = 17. 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+1=1207x + 1 = 120
  2. 2

    Subtract 1 from both sides:

    7x+1−1=120−1 ⇒ 7x=1197x + 1 - 1 = 120 - 1 \ \Rightarrow\ 7x = 119
  3. 3

    Divide both sides by 7:

    7x7=1197 ⇒ x=17\frac{7x}{7} = \frac{119}{7} \ \Rightarrow\ x = 17
  4. 4

    Check: put x = 17 back into the equation.

    7⋅17+1=119+1=120✓7\cdot17 + 1 = 119 + 1 = 120 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 1 = 120\ \Rightarrow\ x = 17 \]
\[ 7x + 1 = 120 \]
\[ 7x + 1 - 1 = 120 - 1 \ \Rightarrow\ 7x = 119 \]
\[ \frac{7x}{7} = \frac{119}{7} \ \Rightarrow\ x = 17 \]
\[ 7\cdot17 + 1 = 119 + 1 = 120 \checkmark \]

Trying values of x in 7x + 1 = 120

x7x + 1Equals 120?
15106no
16113no
17120yes
18127no
19134no

Questions

What is x in 7x + 1 = 120?

The solution of 7x + 1 = 120 is x = 17.

How do you solve 7x + 1 = 120?

Subtract 1 from both sides to get 7x = 119, then divide both sides by 7 to get x = 17.

How do I check the answer?

Replace x by 17: 7(17) + 1 = 120, which is 120.

Similar equations

    Solve 7x + 1 = 120: x = 17 (steps and check) | WordGPT