Question

What is the value of x in the equation 2(6x+4)-6+ 2x = 3(4x+3)+1?

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Answer 1

Hi there!

Question:

What is the value of x in the equation 2 (6x+4) - 6 + 2x = 3 (4x + 3) + 1

Answer:

x = 4

Explanation:

`2(6x+4) -6+2x=3(4x+3)+1`

Step 1: Simplify both sides of the equation.

`2(6x+4)-6+2x=3(4x+3)+1`

`(2)(6x)+(2)(4)+-6+2x=(3)(4x)+(3)(3)+1` (Distribute)

`12x+8+- 6+2x=12x+9+1`

`(12x+2x)+(8+- 6)=(12x)+(9+1)` (Combine Like Terms)

`14x+2=12x+10`

Step 2: Subtract 12x from both sides.

`14x+2 -12x=12x+10 - 12x`

`2x+2=10`

Step 3: Subtract 2 from both sides.

`2x+2-2=10-2`

`2x=8`

Step 4: Divide both sides by 2.

`(2x)/(2) =(8)/(2)`

`x=4`