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

$$\frac{3x}{4}-\frac{(x-4)}{3}=\frac{5}{3}$$

Solve for x

$x=\frac{4}{5}=0.8$

Steps for Solving Linear Equation

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

$$3\times 3x-4\left(x-4\right)=20$$

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

$$9x-4\left(x-4\right)=20$$

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

$$9x-4x+16=20$$

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

$$5x+16=20$$

Subtract $16$ from both sides.

$$5x=20-16$$

Subtract $16$ from $20$ to get $4$.

$$5x=4$$

Divide both sides by $5$.

$$x=\frac{4}{5}$$