Solve 1/3 * (x - 3) + 2/3 = (4x - 3)/6 | 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

$$\frac{1}{3}(x-3)+\frac{2}{3}=\frac{4x-3}{6}$$

Solve for x

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

Steps for Solving Linear Equation

Multiply both sides of the equation by $6$, the least common multiple of $3,6$.

$$2\left(x-3\right)+4=4x-3$$

Use the distributive property to multiply $2$ by $x-3$.

$$2x-6+4=4x-3$$

Add $-6$ and $4$ to get $-2$.

$$2x-2=4x-3$$

Subtract $4x$ from both sides.

$$2x-2-4x=-3$$

Combine $2x$ and $-4x$ to get $-2x$.

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

Add $2$ to both sides.

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

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

$$-2x=-1$$

Divide both sides by $-2$.

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

Fraction $\frac{-1}{-2}$ can be simplified to $\frac{1}{2}$ by removing the negative sign from both the numerator and the denominator.

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