Solve (7x)/(5)-(x+2)/(2)=(3x+5)/(10) | 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

$$\frac{ 7x }{ 5 } - \frac{ x+2 }{ 2 } = \frac{ 3x+5 }{ 10 }$$

Solve for x

$x = \frac{5}{2} = 2\frac{1}{2} = 2.5$

Steps for Solving Linear Equation

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

$$2\times 7x-5\left(x+2\right)=3x+5$$

Multiply $2$ and $7$ to get $14$.

$$14x-5\left(x+2\right)=3x+5$$

Use the distributive property to multiply $-5$ by $x+2$.

$$14x-5x-10=3x+5$$

Combine $14x$ and $-5x$ to get $9x$.

$$9x-10=3x+5$$

Subtract $3x$ from both sides.

$$9x-10-3x=5$$

Combine $9x$ and $-3x$ to get $6x$.

$$6x-10=5$$

Add $10$ to both sides.

$$6x=5+10$$

Add $5$ and $10$ to get $15$.

$$6x=15$$

Divide both sides by $6$.

$$x=\frac{15}{6}$$

Reduce the fraction $\frac{15}{6}$ to lowest terms by extracting and canceling out $3$.

$$x=\frac{5}{2}$$