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

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

Solve for x

$$x = \frac{19}{7} = 2\frac{5}{7} \approx 2.714285714$$

Steps for Solving Linear Equation

Combine 3x and 2x to get 5x.

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

Use the distributive property to multiply -5 by x-2.

$$5x-4=3\left(2x-5x+10\right)+4$$

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

$$5x-4=3\left(-3x+10\right)+4$$

Use the distributive property to multiply 3 by -3x+10.

$$5x-4=-9x+30+4$$

Add 30 and 4 to get 34.

$$5x-4=-9x+34$$

Add 9x to both sides.

$$5x-4+9x=34$$

Combine 5x and 9x to get 14x.

$$14x-4=34$$

Add 4 to both sides.

$$14x=34+4$$

Add 34 and 4 to get 38.

$$14x=38$$

Divide both sides by 14.

$$x=\frac{38}{14}$$

Reduce the fraction \frac{38}{14} to lowest terms by extracting and canceling out 2.

$$x=\frac{19}{7}$$