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Solve 7x + 12 = 5

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

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The lines y = 7x + 12 and y = 5 meet at x = -1-6-4-224-40-202040x = -1y = 7x + 12y = 5
The lines y = 7x + 12 and y = 5 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+12=57x + 12 = 5
  2. 2

    Subtract 12 from both sides:

    7x+12−12=5−12 ⇒ 7x=−77x + 12 - 12 = 5 - 12 \ \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)+12=−7+12=5✓7\cdot(-1) + 12 = -7 + 12 = 5 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 12 = 5\ \Rightarrow\ x = -1 \]
\[ 7x + 12 = 5 \]
\[ 7x + 12 - 12 = 5 - 12 \ \Rightarrow\ 7x = -7 \]
\[ \frac{7x}{7} = \frac{-7}{7} \ \Rightarrow\ x = -1 \]
\[ 7\cdot(-1) + 12 = -7 + 12 = 5 \checkmark \]

Trying values of x in 7x + 12 = 5

x7x + 12Equals 5?
-3-9no
-2-2no
-15yes
012no
119no

Questions

What is x in 7x + 12 = 5?

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

How do you solve 7x + 12 = 5?

Subtract 12 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) + 12 = 5, which is 5.

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