Solve (x + 1)/5 - (3(x - 1))/10 = 2 | 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

$$\frac{x+1}{5}-\frac{3(x-1)}{10}=2$$

Solve for x

$x=-15$

Steps for Solving Linear Equation

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

$$2\left(x+1\right)-3\left(x-1\right)=20$$

Use the distributive property to multiply $2$ by $x+1$.

$$2x+2-3\left(x-1\right)=20$$

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

$$2x+2-3x+3=20$$

Combine $2x$ and $-3x$ to get $-x$.

$$-x+2+3=20$$

Add $2$ and $3$ to get $5$.

$$-x+5=20$$

Subtract $5$ from both sides.

$$-x=20-5$$

Subtract $5$ from $20$ to get $15$.

$$-x=15$$

Multiply both sides by $-1$.

$$x=-15$$