Solve (2(2x - 6))/(5 - x) = 4 | 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

$$\frac{2(2x-6)}{5-x}=4$$

Solve for x

$x=4$

Steps for Solving Linear Equation

Variable $x$ cannot be equal to $5$ since division by zero is not defined. Multiply both sides of the equation by $-x+5$.

$$2\left(2x-6\right)=4\left(-x+5\right)$$

Use the distributive property to multiply $2$ by $2x-6$.

$$4x-12=4\left(-x+5\right)$$

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

$$4x-12=-4x+20$$

Add $4x$ to both sides.

$$4x-12+4x=20$$

Combine $4x$ and $4x$ to get $8x$.

$$8x-12=20$$

Add $12$ to both sides.

$$8x=20+12$$

Add $20$ and $12$ to get $32$.

$$8x=32$$

Divide both sides by $8$.

$$x=\frac{32}{8}$$

Divide $32$ by $8$ to get $4$.

$$x=4$$