Solve 3x + x/8 = 4/5 + 4x - 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

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

Solve for x

$x = \frac{88}{35} = 2\frac{18}{35} \approx 2.514285714$

Steps for Solving Linear Equation

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

$$120x+5x=32+160x-120$$

Combine $120x$ and $5x$ to get $125x$.

$$125x=32+160x-120$$

Subtract $120$ from $32$ to get $-88$.

$$125x=-88+160x$$

Subtract $160x$ from both sides.

$$125x-160x=-88$$

Combine $125x$ and $-160x$ to get $-35x$.

$$-35x=-88$$

Divide both sides by $-35$.

$$x=\frac{-88}{-35}$$

Fraction $\frac{-88}{-35}$ can be simplified to $\frac{88}{35}$ by removing the negative sign from both the numerator and the denominator.

$$x=\frac{88}{35}$$