Solve 4*left(2+3xright)-(x-5)=0

$$4 \times \left( 2+3x \right) -(x-5) = 0$$

Solve for x

$$x = -\frac{13}{11} = -1\frac{2}{11} \approx -1.181818182$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by 2+3x.

$$8+12x-\left(x-5\right)=0$$

To find the opposite of x-5, find the opposite of each term.

$$8+12x-x-\left(-5\right)=0$$

The opposite of -5 is 5.

$$8+12x-x+5=0$$

Combine 12x and -x to get 11x.

$$8+11x+5=0$$

Add 8 and 5 to get 13.

$$13+11x=0$$

Subtract 13 from both sides. Anything subtracted from zero gives its negation.

$$11x=-13$$

Divide both sides by 11.

$$x=\frac{-13}{11}$$

Fraction \frac{-13}{11} can be rewritten as -\frac{13}{11} by extracting the negative sign.

$$x=-\frac{13}{11}$$