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Solve 7x + 2 = 128

The solution of 7x + 2 = 128 is x = 18.

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The lines y = 7x + 2 and y = 128 meet at x = 181214161820222480100120140160x = 18y = 7x + 2y = 128
The lines y = 7x + 2 and y = 128 meet at x = 18. 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=1287x + 2 = 128
  2. 2

    Subtract 2 from both sides:

    7x+2−2=128−2 ⇒ 7x=1267x + 2 - 2 = 128 - 2 \ \Rightarrow\ 7x = 126
  3. 3

    Divide both sides by 7:

    7x7=1267 ⇒ x=18\frac{7x}{7} = \frac{126}{7} \ \Rightarrow\ x = 18
  4. 4

    Check: put x = 18 back into the equation.

    7⋅18+2=126+2=128✓7\cdot18 + 2 = 126 + 2 = 128 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 2 = 128\ \Rightarrow\ x = 18 \]
\[ 7x + 2 = 128 \]
\[ 7x + 2 - 2 = 128 - 2 \ \Rightarrow\ 7x = 126 \]
\[ \frac{7x}{7} = \frac{126}{7} \ \Rightarrow\ x = 18 \]
\[ 7\cdot18 + 2 = 126 + 2 = 128 \checkmark \]

Trying values of x in 7x + 2 = 128

x7x + 2Equals 128?
16114no
17121no
18128yes
19135no
20142no

Questions

What is x in 7x + 2 = 128?

The solution of 7x + 2 = 128 is x = 18.

How do you solve 7x + 2 = 128?

Subtract 2 from both sides to get 7x = 126, then divide both sides by 7 to get x = 18.

How do I check the answer?

Replace x by 18: 7(18) + 2 = 128, which is 128.

Similar equations

    Solve 7x + 2 = 128: x = 18 (steps and check) | WordGPT