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Solve 4x + 6 = 10

The solution of 4x + 6 = 10 is x = 1.

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The lines y = 4x + 6 and y = 10 meet at x = 1-4-2246-10102030x = 1y = 4x + 6y = 10
The lines y = 4x + 6 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+6=104x + 6 = 10
  2. 2

    Subtract 6 from both sides:

    4x+6−6=10−6 ⇒ 4x=44x + 6 - 6 = 10 - 6 \ \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+6=4+6=10✓4\cdot1 + 6 = 4 + 6 = 10 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 6 = 10\ \Rightarrow\ x = 1 \]
\[ 4x + 6 = 10 \]
\[ 4x + 6 - 6 = 10 - 6 \ \Rightarrow\ 4x = 4 \]
\[ \frac{4x}{4} = \frac{4}{4} \ \Rightarrow\ x = 1 \]
\[ 4\cdot1 + 6 = 4 + 6 = 10 \checkmark \]

Trying values of x in 4x + 6 = 10

x4x + 6Equals 10?
-12no
06no
110yes
214no
318no

Questions

What is x in 4x + 6 = 10?

The solution of 4x + 6 = 10 is x = 1.

How do you solve 4x + 6 = 10?

Subtract 6 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) + 6 = 10, which is 10.

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    Solve 4x + 6 = 10: x = 1 (steps and check) | WordGPT