Solve 4(2x-5)-6(3x+2)=6+2x

$$4(2x-5)-6(3x+2)=6+2x$$

Solve for x

$$x = -\frac{19}{6} = -3\frac{1}{6} \approx -3.166666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by 2x-5.

$$8x-20-6\left(3x+2\right)=6+2x$$

Use the distributive property to multiply -6 by 3x+2.

$$8x-20-18x-12=6+2x$$

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

$$-10x-20-12=6+2x$$

Subtract 12 from -20 to get -32.

$$-10x-32=6+2x$$

Subtract 2x from both sides.

$$-10x-32-2x=6$$

Combine -10x and -2x to get -12x.

$$-12x-32=6$$

Add 32 to both sides.

$$-12x=6+32$$

Add 6 and 32 to get 38.

$$-12x=38$$

Divide both sides by -12.

$$x=\frac{38}{-12}$$

Reduce the fraction \frac{38}{-12} to lowest terms by extracting and canceling out 2.

$$x=-\frac{19}{6}$$