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Solve 5x + 7 = 2

The solution of 5x + 7 = 2 is x = -1.

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The lines y = 5x + 7 and y = 2 meet at x = -1-6-4-224-30-20-10102030x = -1y = 5x + 7y = 2
The lines y = 5x + 7 and y = 2 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+7=25x + 7 = 2
  2. 2

    Subtract 7 from both sides:

    5x+7−7=2−7 ⇒ 5x=−55x + 7 - 7 = 2 - 7 \ \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)+7=−5+7=2✓5\cdot(-1) + 7 = -5 + 7 = 2 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 7 = 2\ \Rightarrow\ x = -1 \]
\[ 5x + 7 = 2 \]
\[ 5x + 7 - 7 = 2 - 7 \ \Rightarrow\ 5x = -5 \]
\[ \frac{5x}{5} = \frac{-5}{5} \ \Rightarrow\ x = -1 \]
\[ 5\cdot(-1) + 7 = -5 + 7 = 2 \checkmark \]

Trying values of x in 5x + 7 = 2

x5x + 7Equals 2?
-3-8no
-2-3no
-12yes
07no
112no

Questions

What is x in 5x + 7 = 2?

The solution of 5x + 7 = 2 is x = -1.

How do you solve 5x + 7 = 2?

Subtract 7 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) + 7 = 2, which is 2.

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    Solve 5x + 7 = 2: x = -1 (steps and check) | WordGPT