Solve x-(5x-1)/(8)=4x-(3)/(5) | 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

$$x- \frac{ 5x-1 }{ 8 } =4x- \frac{ 3 }{ 5 }$$

Solve for x

$x=\frac{1}{5}=0.2$

Steps for Solving Linear Equation

Multiply both sides of the equation by $40$, the least common multiple of $8,5$.

$$40x-5\left(5x-1\right)=160x-24$$

Use the distributive property to multiply $-5$ by $5x-1$.

$$40x-25x+5=160x-24$$

Combine $40x$ and $-25x$ to get $15x$.

$$15x+5=160x-24$$

Subtract $160x$ from both sides.

$$15x+5-160x=-24$$

Combine $15x$ and $-160x$ to get $-145x$.

$$-145x+5=-24$$

Subtract $5$ from both sides.

$$-145x=-24-5$$

Subtract $5$ from $-24$ to get $-29$.

$$-145x=-29$$

Divide both sides by $-145$.

$$x=\frac{-29}{-145}$$

Reduce the fraction $\frac{-29}{-145}$ to lowest terms by extracting and canceling out $-29$.

$$x=\frac{1}{5}$$