Solve (2x-3)/(3)=(9x-2)/(3) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\frac{ 2x-3 }{ 3 } = \frac{ 9x-2 }{ 3 }$$

Solve for x

$x=-\frac{1}{7}\approx -0.142857143$

Steps for Solving Linear Equation

Multiply both sides of the equation by $3$.

$$2x-3=9x-2$$

Subtract $9x$ from both sides.

$$2x-3-9x=-2$$

Combine $2x$ and $-9x$ to get $-7x$.

$$-7x-3=-2$$

Add $3$ to both sides.

$$-7x=-2+3$$

Add $-2$ and $3$ to get $1$.

$$-7x=1$$

Divide both sides by $-7$.

$$x=\frac{1}{-7}$$

Fraction $\frac{1}{-7}$ can be rewritten as $-\frac{1}{7}$ by extracting the negative sign.

$$x=-\frac{1}{7}$$