Solve (x - 4)/3 = (2x - 3)/2 | 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

$$\frac{x-4}{3}=\frac{2x-3}{2}$$

Solve for x

$x=\frac{1}{4}=0.25$

Steps for Solving Linear Equation

Multiply both sides of the equation by $6$, the least common multiple of $3,2$.

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

Use the distributive property to multiply $2$ by $x-4$.

$$2x-8=3\left(2x-3\right)$$

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

$$2x-8=6x-9$$

Subtract $6x$ from both sides.

$$2x-8-6x=-9$$

Combine $2x$ and $-6x$ to get $-4x$.

$$-4x-8=-9$$

Add $8$ to both sides.

$$-4x=-9+8$$

Add $-9$ and $8$ to get $-1$.

$$-4x=-1$$

Divide both sides by $-4$.

$$x=\frac{-1}{-4}$$

Fraction $\frac{-1}{-4}$ can be simplified to $\frac{1}{4}$ by removing the negative sign from both the numerator and the denominator.

$$x=\frac{1}{4}$$