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Solve 4x + 2 = 46

The solution of 4x + 2 = 46 is x = 11.

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The lines y = 4x + 2 and y = 46 meet at x = 116810121416203040506070x = 11y = 4x + 2y = 46
The lines y = 4x + 2 and y = 46 meet at x = 11. 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+2=464x + 2 = 46
  2. 2

    Subtract 2 from both sides:

    4x+2−2=46−2 ⇒ 4x=444x + 2 - 2 = 46 - 2 \ \Rightarrow\ 4x = 44
  3. 3

    Divide both sides by 4:

    4x4=444 ⇒ x=11\frac{4x}{4} = \frac{44}{4} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    4⋅11+2=44+2=46✓4\cdot11 + 2 = 44 + 2 = 46 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 2 = 46\ \Rightarrow\ x = 11 \]
\[ 4x + 2 = 46 \]
\[ 4x + 2 - 2 = 46 - 2 \ \Rightarrow\ 4x = 44 \]
\[ \frac{4x}{4} = \frac{44}{4} \ \Rightarrow\ x = 11 \]
\[ 4\cdot11 + 2 = 44 + 2 = 46 \checkmark \]

Trying values of x in 4x + 2 = 46

x4x + 2Equals 46?
938no
1042no
1146yes
1250no
1354no

Questions

What is x in 4x + 2 = 46?

The solution of 4x + 2 = 46 is x = 11.

How do you solve 4x + 2 = 46?

Subtract 2 from both sides to get 4x = 44, then divide both sides by 4 to get x = 11.

How do I check the answer?

Replace x by 11: 4(11) + 2 = 46, which is 46.

Similar equations

    Solve 4x + 2 = 46: x = 11 (steps and check) | WordGPT