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Solve 3x + 10 = 7

The solution of 3x + 10 = 7 is x = -1.

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

    3x+10=73x + 10 = 7
  2. 2

    Subtract 10 from both sides:

    3x+10−10=7−10 ⇒ 3x=−33x + 10 - 10 = 7 - 10 \ \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)+10=−3+10=7✓3\cdot(-1) + 10 = -3 + 10 = 7 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 10 = 7\ \Rightarrow\ x = -1 \]
\[ 3x + 10 = 7 \]
\[ 3x + 10 - 10 = 7 - 10 \ \Rightarrow\ 3x = -3 \]
\[ \frac{3x}{3} = \frac{-3}{3} \ \Rightarrow\ x = -1 \]
\[ 3\cdot(-1) + 10 = -3 + 10 = 7 \checkmark \]

Trying values of x in 3x + 10 = 7

x3x + 10Equals 7?
-31no
-24no
-17yes
010no
113no

Questions

What is x in 3x + 10 = 7?

The solution of 3x + 10 = 7 is x = -1.

How do you solve 3x + 10 = 7?

Subtract 10 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) + 10 = 7, which is 7.

Similar equations

    Solve 3x + 10 = 7: x = -1 (steps and check) | WordGPT