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Solve 5x + 12 = 7

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

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The lines y = 5x + 12 and y = 7 meet at x = -1-6-4-224-20-1010203040x = -1y = 5x + 12y = 7
The lines y = 5x + 12 and y = 7 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.

    5x+12=75x + 12 = 7
  2. 2

    Subtract 12 from both sides:

    5x+12−12=7−12 ⇒ 5x=−55x + 12 - 12 = 7 - 12 \ \Rightarrow\ 5x = -5
  3. 3

    Divide both sides by 5:

    5x5=−55 ⇒ x=−1\frac{5x}{5} = \frac{-5}{5} \ \Rightarrow\ x = -1
  4. 4

    Check: put x = -1 back into the equation.

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

Trying values of x in 5x + 12 = 7

x5x + 12Equals 7?
-3-3no
-22no
-17yes
012no
117no

Questions

What is x in 5x + 12 = 7?

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

How do you solve 5x + 12 = 7?

Subtract 12 from both sides to get 5x = -5, then divide both sides by 5 to get x = -1.

How do I check the answer?

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

Similar equations

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