Solve (3x)/4 - (x - 5)/3 = x/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

$$\frac{3x}{4}-\frac{x-5}{3}=\frac{x}{2}$$

Solve for x

$x=20$

Steps for Solving Linear Equation

Multiply both sides of the equation by $12$, the least common multiple of $4,3,2$.

$$3\times 3x-4\left(x-5\right)=6x$$

Multiply $3$ and $3$ to get $9$.

$$9x-4\left(x-5\right)=6x$$

Use the distributive property to multiply $-4$ by $x-5$.

$$9x-4x+20=6x$$

Combine $9x$ and $-4x$ to get $5x$.

$$5x+20=6x$$

Subtract $6x$ from both sides.

$$5x+20-6x=0$$

Combine $5x$ and $-6x$ to get $-x$.

$$-x+20=0$$

Subtract $20$ from both sides. Anything subtracted from zero gives its negation.

$$-x=-20$$

Multiply both sides by $-1$.

$$x=20$$