Solve x-(x)/(3)=2x-(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

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

Solve for x

$x=\frac{1}{2}=0.5$

Steps for Solving Linear Equation

Multiply both sides of the equation by $3$.

$$3x-x=6x-2$$

Subtract $6x$ from both sides.

$$3x-x-6x=-2$$

Combine $3x$ and $-6x$ to get $-3x$.

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

Combine $-3x$ and $-x$ to get $-4x$.

$$-4x=-2$$

Divide both sides by $-4$.

$$x=\frac{-2}{-4}$$

Reduce the fraction $\frac{-2}{-4}$ to lowest terms by extracting and canceling out $-2$.

$$x=\frac{1}{2}$$