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Solve 7x + 5 = 12

The solution of 7x + 5 = 12 is x = 1.

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The lines y = 7x + 5 and y = 12 meet at x = 1-4-2246-20204060x = 1y = 7x + 5y = 12
The lines y = 7x + 5 and y = 12 meet at x = 1. 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+5=127x + 5 = 12
  2. 2

    Subtract 5 from both sides:

    7x+5−5=12−5 ⇒ 7x=77x + 5 - 5 = 12 - 5 \ \Rightarrow\ 7x = 7
  3. 3

    Divide both sides by 7:

    7x7=77 ⇒ x=1\frac{7x}{7} = \frac{7}{7} \ \Rightarrow\ x = 1
  4. 4

    Check: put x = 1 back into the equation.

    7⋅1+5=7+5=12✓7\cdot1 + 5 = 7 + 5 = 12 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 5 = 12\ \Rightarrow\ x = 1 \]
\[ 7x + 5 = 12 \]
\[ 7x + 5 - 5 = 12 - 5 \ \Rightarrow\ 7x = 7 \]
\[ \frac{7x}{7} = \frac{7}{7} \ \Rightarrow\ x = 1 \]
\[ 7\cdot1 + 5 = 7 + 5 = 12 \checkmark \]

Trying values of x in 7x + 5 = 12

x7x + 5Equals 12?
-1-2no
05no
112yes
219no
326no

Questions

What is x in 7x + 5 = 12?

The solution of 7x + 5 = 12 is x = 1.

How do you solve 7x + 5 = 12?

Subtract 5 from both sides to get 7x = 7, then divide both sides by 7 to get x = 1.

How do I check the answer?

Replace x by 1: 7(1) + 5 = 12, which is 12.

Similar equations

    Solve 7x + 5 = 12: x = 1 (steps and check) | WordGPT