Solve 2left(2x+1right)-3left(3x-4right)=2

$$2 \left( 2x+1 \right) -3 \left( 3x-4 \right) =2$$

Solve for x

$$x = \frac{12}{5} = 2\frac{2}{5} = 2.4$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 2x+1.

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

Use the distributive property to multiply -3 by 3x-4.

$$4x+2-9x+12=2$$

Combine 4x and -9x to get -5x.

$$-5x+2+12=2$$

Add 2 and 12 to get 14.

$$-5x+14=2$$

Subtract 14 from both sides.

$$-5x=2-14$$

Subtract 14 from 2 to get -12.

$$-5x=-12$$

Divide both sides by -5.

$$x=\frac{-12}{-5}$$

Fraction \frac{-12}{-5} can be simplified to \frac{12}{5} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{12}{5}$$