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

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

Solve for x

$x = \frac{15}{8} = 1\frac{7}{8} = 1.875$

Steps for Solving Linear Equation

Multiply both sides of the equation by $20$, the least common multiple of $5,4$.

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

Multiply $4$ and $3$ to get $12$.

$$12x=5\left(4x-3\right)$$

Use the distributive property to multiply $5$ by $4x-3$.

$$12x=20x-15$$

Subtract $20x$ from both sides.

$$12x-20x=-15$$

Combine $12x$ and $-20x$ to get $-8x$.

$$-8x=-15$$

Divide both sides by $-8$.

$$x=\frac{-15}{-8}$$

Fraction $\frac{-15}{-8}$ can be simplified to $\frac{15}{8}$ by removing the negative sign from both the numerator and the denominator.

$$x=\frac{15}{8}$$