Solve 3x-6/12=2x-1/3+x-4/8

$$\frac { 3 x - 6 } { 12 } = \frac { 2 x - 1 } { 3 } + \frac { x - 4 } { 8 }$$

Solve for x

$$x=\frac{8}{13}\approx 0.615384615$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 24, the least common multiple of 12,3,8.

$$2\left(3x-6\right)=8\left(2x-1\right)+3\left(x-4\right)$$

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

$$6x-12=8\left(2x-1\right)+3\left(x-4\right)$$

Use the distributive property to multiply 8 by 2x-1.

$$6x-12=16x-8+3\left(x-4\right)$$

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

$$6x-12=16x-8+3x-12$$

Combine 16x and 3x to get 19x.

$$6x-12=19x-8-12$$

Subtract 12 from -8 to get -20.

$$6x-12=19x-20$$

Subtract 19x from both sides.

$$6x-12-19x=-20$$

Combine 6x and -19x to get -13x.

$$-13x-12=-20$$

Add 12 to both sides.

$$-13x=-20+12$$

Add -20 and 12 to get -8.

$$-13x=-8$$

Divide both sides by -13.

$$x=\frac{-8}{-13}$$

Fraction \frac{-8}{-13} can be simplified to \frac{8}{13} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{8}{13}$$