Solve 6x-3+8(2-4x)=16x+2

$$6 x - 3 + 8 ( 2 - 4 x ) = 16 x + 2$$

Solve for x

$$x=\frac{11}{42}\approx 0.261904762$$

Steps for Solving Linear Equation

Use the distributive property to multiply 8 by 2-4x.

$$6x-3+16-32x=16x+2$$

Add -3 and 16 to get 13.

$$6x+13-32x=16x+2$$

Combine 6x and -32x to get -26x.

$$-26x+13=16x+2$$

Subtract 16x from both sides.

$$-26x+13-16x=2$$

Combine -26x and -16x to get -42x.

$$-42x+13=2$$

Subtract 13 from both sides.

$$-42x=2-13$$

Subtract 13 from 2 to get -11.

$$-42x=-11$$

Divide both sides by -42.

$$x=\frac{-11}{-42}$$

Fraction \frac{-11}{-42} can be simplified to \frac{11}{42} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{11}{42}$$