Solve 8x+4=3(4x-3)+2(3x+4)

$$8 x + 4 = 3 ( 4 x - 3 ) + 2 ( 3 x + 4 )$$

Solve for x

$$x=\frac{1}{2}=0.5$$

Steps for Solving Linear Equation

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

$$8x+4=12x-9+2\left(3x+4\right)$$

Use the distributive property to multiply 2 by 3x+4.

$$8x+4=12x-9+6x+8$$

Combine 12x and 6x to get 18x.

$$8x+4=18x-9+8$$

Add -9 and 8 to get -1.

$$8x+4=18x-1$$

Subtract 18x from both sides.

$$8x+4-18x=-1$$

Combine 8x and -18x to get -10x.

$$-10x+4=-1$$

Subtract 4 from both sides.

$$-10x=-1-4$$

Subtract 4 from -1 to get -5.

$$-10x=-5$$

Divide both sides by -10.

$$x=\frac{-5}{-10}$$

Reduce the fraction \frac{-5}{-10} to lowest terms by extracting and canceling out -5.

$$x=\frac{1}{2}$$