Solve (5 + 3x)/10 - (2(x - 1))/8 = 1 | 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

$$\frac{5+3x}{10}-\frac{2(x-1)}{8}=1$$

Solve for x

$x=5$

Steps for Solving Linear Equation

Multiply both sides of the equation by $40$, the least common multiple of $10,8$.

$$4\left(5+3x\right)-5\times 2\left(x-1\right)=40$$

Use the distributive property to multiply $4$ by $5+3x$.

$$20+12x-5\times 2\left(x-1\right)=40$$

Multiply $-5$ and $2$ to get $-10$.

$$20+12x-10\left(x-1\right)=40$$

Use the distributive property to multiply $-10$ by $x-1$.

$$20+12x-10x+10=40$$

Combine $12x$ and $-10x$ to get $2x$.

$$20+2x+10=40$$

Add $20$ and $10$ to get $30$.

$$30+2x=40$$

Subtract $30$ from both sides.

$$2x=40-30$$

Subtract $30$ from $40$ to get $10$.

$$2x=10$$

Divide both sides by $2$.

$$x=\frac{10}{2}$$

Divide $10$ by $2$ to get $5$.

$$x=5$$