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Math

Question Solve for xx in the linear equation 3x+4=9x+33x + 4 = 9x + 3.

Studdy Solution

STEP 1

Assumptions
1. We are given a linear equation in the form of 3x+4=9x+33x + 4 = 9x + 3.
2. We need to solve for the variable xx.

STEP 2

To find the value of xx, we need to isolate xx on one side of the equation. We can start by subtracting 3x3x from both sides of the equation to move all the xx terms to one side.
3x+4−3x=9x+3−3x3x + 4 - 3x = 9x + 3 - 3x

STEP 3

Simplify both sides of the equation by combining like terms.
4=6x+34 = 6x + 3

STEP 4

Next, we subtract 33 from both sides of the equation to move the constant term to the other side.
4−3=6x+3−34 - 3 = 6x + 3 - 3

STEP 5

Simplify both sides of the equation by combining like terms.
1=6x1 = 6x

STEP 6

Now, to isolate xx, we divide both sides of the equation by 66.
16=6x6\frac{1}{6} = \frac{6x}{6}

STEP 7

Simplify both sides of the equation.
x=16x = \frac{1}{6}
The solution for xx is 16\frac{1}{6}.

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