Solve (5x)/7 + 3/14 = (8x)/21 - 5/14 | 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

$$\frac{5x}{7}+\frac{3}{14}=\frac{8x}{21}-\frac{5}{14}$$

Solve for x

$x = -\frac{12}{7} = -1\frac{5}{7} \approx -1.714285714$

Steps for Solving Linear Equation

Multiply both sides of the equation by $42$, the least common multiple of $7,14,21$.

$$6\times 5x+9=2\times 8x-15$$

Multiply $6$ and $5$ to get $30$.

$$30x+9=2\times 8x-15$$

Multiply $2$ and $8$ to get $16$.

$$30x+9=16x-15$$

Subtract $16x$ from both sides.

$$30x+9-16x=-15$$

Combine $30x$ and $-16x$ to get $14x$.

$$14x+9=-15$$

Subtract $9$ from both sides.

$$14x=-15-9$$

Subtract $9$ from $-15$ to get $-24$.

$$14x=-24$$

Divide both sides by $14$.

$$x=\frac{-24}{14}$$

Reduce the fraction $\frac{-24}{14}$ to lowest terms by extracting and canceling out $2$.

$$x=-\frac{12}{7}$$