Solve 5[x-(4x-5)]=3-2x

$$5 [ x - ( 4 x - 5 ) ] = 3 - 2 x$$

Solve for x

$$x = \frac{22}{13} = 1\frac{9}{13} \approx 1.692307692$$

Steps for Solving Linear Equation

To find the opposite of 4x-5, find the opposite of each term.

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

The opposite of -5 is 5.

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

Combine x and -4x to get -3x.

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

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

$$-15x+25=3-2x$$

Add 2x to both sides.

$$-15x+25+2x=3$$

Combine -15x and 2x to get -13x.

$$-13x+25=3$$

Subtract 25 from both sides.

$$-13x=3-25$$

Subtract 25 from 3 to get -22.

$$-13x=-22$$

Divide both sides by -13.

$$x=\frac{-22}{-13}$$

Fraction \frac{-22}{-13} can be simplified to \frac{22}{13} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{22}{13}$$