Solve 3-(2x-5)=4+(x+2)

$$3-(2x-5)=4+(x+2)$$

Solve for x

$$x=\frac{2}{3}\approx 0.666666667$$

Steps for Solving Linear Equation

To find the opposite of 2x-5, find the opposite of each term.

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

The opposite of -5 is 5.

$$3-2x+5=4+x+2$$

Add 3 and 5 to get 8.

$$8-2x=4+x+2$$

Add 4 and 2 to get 6.

$$8-2x=6+x$$

Subtract x from both sides.

$$8-2x-x=6$$

Combine -2x and -x to get -3x.

$$8-3x=6$$

Subtract 8 from both sides.

$$-3x=6-8$$

Subtract 8 from 6 to get -2.

$$-3x=-2$$

Divide both sides by -3.

$$x=\frac{-2}{-3}$$

Fraction \frac{-2}{-3} can be simplified to \frac{2}{3} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{2}{3}$$