Solve 3 ) (5(x + 6) - 15(2 - x))/(3x - 1) = 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

$$\frac { 5 ( x + 6 ) - 15 ( 2 - x ) } { 3 x - 1 } = 10$$

Solve for x

$x=1$

Steps for Solving Linear Equation

Variable $x$ cannot be equal to $\frac{1}{3}$ since division by zero is not defined. Multiply both sides of the equation by $3x-1$.

$$5\left(x+6\right)-15\left(2-x\right)=10\left(3x-1\right)$$

Use the distributive property to multiply $5$ by $x+6$.

$$5x+30-15\left(2-x\right)=10\left(3x-1\right)$$

Use the distributive property to multiply $-15$ by $2-x$.

$$5x+30-30+15x=10\left(3x-1\right)$$

Subtract $30$ from $30$ to get $0$.

$$5x+15x=10\left(3x-1\right)$$

Combine $5x$ and $15x$ to get $20x$.

$$20x=10\left(3x-1\right)$$

Use the distributive property to multiply $10$ by $3x-1$.

$$20x=30x-10$$

Subtract $30x$ from both sides.

$$20x-30x=-10$$

Combine $20x$ and $-30x$ to get $-10x$.

$$-10x=-10$$

Divide both sides by $-10$.

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

Divide $-10$ by $-10$ to get $1$.

$$x=1$$