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Solve 4x + 14 = 10

The solution of 4x + 14 = 10 is x = -1.

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The lines y = 4x + 14 and y = 10 meet at x = -1-6-4-224-10102030x = -1y = 4x + 14y = 10
The lines y = 4x + 14 and y = 10 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.

    4x+14=104x + 14 = 10
  2. 2

    Subtract 14 from both sides:

    4x+14−14=10−14 ⇒ 4x=−44x + 14 - 14 = 10 - 14 \ \Rightarrow\ 4x = -4
  3. 3

    Divide both sides by 4:

    4x4=−44 ⇒ x=−1\frac{4x}{4} = \frac{-4}{4} \ \Rightarrow\ x = -1
  4. 4

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

    4⋅(−1)+14=−4+14=10✓4\cdot(-1) + 14 = -4 + 14 = 10 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 14 = 10\ \Rightarrow\ x = -1 \]
\[ 4x + 14 = 10 \]
\[ 4x + 14 - 14 = 10 - 14 \ \Rightarrow\ 4x = -4 \]
\[ \frac{4x}{4} = \frac{-4}{4} \ \Rightarrow\ x = -1 \]
\[ 4\cdot(-1) + 14 = -4 + 14 = 10 \checkmark \]

Trying values of x in 4x + 14 = 10

x4x + 14Equals 10?
-32no
-26no
-110yes
014no
118no

Questions

What is x in 4x + 14 = 10?

The solution of 4x + 14 = 10 is x = -1.

How do you solve 4x + 14 = 10?

Subtract 14 from both sides to get 4x = -4, then divide both sides by 4 to get x = -1.

How do I check the answer?

Replace x by -1: 4(-1) + 14 = 10, which is 10.

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