Solve for x: 2x+1=3x−4 3+6x=-3x+9

Mathematics

ScanSolve AI Answer

Answer

x=5x=5

x=23x=\frac{2}{3}

Step-by-step solution

5 steps

Here are the solutions for xx:

  1. Solve for xx: 2x+1=3x−42x+1=3x-4

  1. Subtract $2x$ from both sides of the equation.

    $$
2x+1-2x = 3x-4-2x
$$
$$
1 = x-4
$$

  2. Add 4 to both sides of the equation.

    $$
1+4 = x-4+4
$$
$$
5 = x
$$
The solution is $\boxed{x=5}$.

    2. Solve for xx: 3+6x=−3x+93+6x=-3x+9

  3. Add $3x$ to both sides of the equation.

    $$
3+6x+3x = -3x+9+3x
$$
$$
3+9x = 9
$$

  4. Subtract 3 from both sides of the equation.

    $$
3+9x-3 = 9-3
$$
$$
9x = 6
$$

  5. Divide both sides by 9.

    $$
\frac{9x}{9} = \frac{6}{9}
$$
$$
x = \frac{2}{3}
$$
The solution is $\boxed{x=\frac{2}{3}}$.
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