Solve 6x+3=2x-4+8x+2

$$6 x + 3 = 2 x - 4 + 8 x + 2$$

Solve for x

$$x = \frac{5}{4} = 1\frac{1}{4} = 1.25$$

Steps for Solving Linear Equation

Combine 2x and 8x to get 10x.

$$6x+3=10x-4+2$$

Add -4 and 2 to get -2.

$$6x+3=10x-2$$

Subtract 10x from both sides.

$$6x+3-10x=-2$$

Combine 6x and -10x to get -4x.

$$-4x+3=-2$$

Subtract 3 from both sides.

$$-4x=-2-3$$

Subtract 3 from -2 to get -5.

$$-4x=-5$$

Divide both sides by -4.

$$x=\frac{-5}{-4}$$

Fraction \frac{-5}{-4} can be simplified to \frac{5}{4} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{5}{4}$$