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Solve 3x + 7 = 4

The solution of 3x + 7 = 4 is x = -1.

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The lines y = 3x + 7 and y = 4 meet at x = -1-6-4-224-15-10-5510152025x = -1y = 3x + 7y = 4
The lines y = 3x + 7 and y = 4 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.

    3x+7=43x + 7 = 4
  2. 2

    Subtract 7 from both sides:

    3x+7−7=4−7 ⇒ 3x=−33x + 7 - 7 = 4 - 7 \ \Rightarrow\ 3x = -3
  3. 3

    Divide both sides by 3:

    3x3=−33 ⇒ x=−1\frac{3x}{3} = \frac{-3}{3} \ \Rightarrow\ x = -1
  4. 4

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

    3⋅(−1)+7=−3+7=4✓3\cdot(-1) + 7 = -3 + 7 = 4 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 7 = 4\ \Rightarrow\ x = -1 \]
\[ 3x + 7 = 4 \]
\[ 3x + 7 - 7 = 4 - 7 \ \Rightarrow\ 3x = -3 \]
\[ \frac{3x}{3} = \frac{-3}{3} \ \Rightarrow\ x = -1 \]
\[ 3\cdot(-1) + 7 = -3 + 7 = 4 \checkmark \]

Trying values of x in 3x + 7 = 4

x3x + 7Equals 4?
-3-2no
-21no
-14yes
07no
110no

Questions

What is x in 3x + 7 = 4?

The solution of 3x + 7 = 4 is x = -1.

How do you solve 3x + 7 = 4?

Subtract 7 from both sides to get 3x = -3, then divide both sides by 3 to get x = -1.

How do I check the answer?

Replace x by -1: 3(-1) + 7 = 4, which is 4.

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    Solve 3x + 7 = 4: x = -1 (steps and check) | WordGPT