Solve (3x - 1)/5 - x/7 = 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

$$\frac{3x-1}{5}-\frac{x}{7}=3$$

Solve for x

$x=7$

Steps for Solving Linear Equation

Multiply both sides of the equation by $35$, the least common multiple of $5,7$.

$$7\left(3x-1\right)-5x=105$$

Use the distributive property to multiply $7$ by $3x-1$.

$$21x-7-5x=105$$

Combine $21x$ and $-5x$ to get $16x$.

$$16x-7=105$$

Add $7$ to both sides.

$$16x=105+7$$

Add $105$ and $7$ to get $112$.

$$16x=112$$

Divide both sides by $16$.

$$x=\frac{112}{16}$$

Divide $112$ by $16$ to get $7$.

$$x=7$$