Solve (x)/(5)+(x)/(2)=x-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

$$\frac{ x }{ 5 } + \frac{ x }{ 2 } =x-3$$

Solve for x

$x=10$

Steps for Solving Linear Equation

Multiply both sides of the equation by $10$, the least common multiple of $5,2$.

$$2x+5x=10x-30$$

Combine $2x$ and $5x$ to get $7x$.

$$7x=10x-30$$

Subtract $10x$ from both sides.

$$7x-10x=-30$$

Combine $7x$ and $-10x$ to get $-3x$.

$$-3x=-30$$

Divide both sides by $-3$.

$$x=\frac{-30}{-3}$$

Divide $-30$ by $-3$ to get $10$.

$$x=10$$