Solve (4x-11)/(3)=2(x-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

$$\frac{ 4x-11 }{ 3 } =2(x-2)$$

Solve for x

$x=\frac{1}{2}=0.5$

Steps for Solving Linear Equation

Multiply both sides of the equation by $3$.

$$4x-11=6\left(x-2\right)$$

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

$$4x-11=6x-12$$

Subtract $6x$ from both sides.

$$4x-11-6x=-12$$

Combine $4x$ and $-6x$ to get $-2x$.

$$-2x-11=-12$$

Add $11$ to both sides.

$$-2x=-12+11$$

Add $-12$ and $11$ to get $-1$.

$$-2x=-1$$

Divide both sides by $-2$.

$$x=\frac{-1}{-2}$$

Fraction $\frac{-1}{-2}$ can be simplified to $\frac{1}{2}$ by removing the negative sign from both the numerator and the denominator.

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