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

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

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.

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

Combine 3x and -2x to get x.

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

Subtract 5 from 2 to get -3.

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

Use the distributive property to multiply 2 by x-3.

$$2x-6=3x+2\left(x-4\right)$$

Use the distributive property to multiply 2 by x-4.

$$2x-6=3x+2x-8$$

Combine 3x and 2x to get 5x.

$$2x-6=5x-8$$

Subtract 5x from both sides.

$$2x-6-5x=-8$$

Combine 2x and -5x to get -3x.

$$-3x-6=-8$$

Add 6 to both sides.

$$-3x=-8+6$$

Add -8 and 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.

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