Solve 2(x-4)=6(x-1)

$$2 ( x - 4 ) = 6 ( x - 1 )$$

Solve for x

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

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply 6 by x-1.

$$2x-8=6x-6$$

Subtract 6x from both sides.

$$2x-8-6x=-6$$

Combine 2x and -6x to get -4x.

$$-4x-8=-6$$

Add 8 to both sides.

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

Add -6 and 8 to get 2.

$$-4x=2$$

Divide both sides by -4.

$$x=\frac{2}{-4}$$

Reduce the fraction \frac{2}{-4} to lowest terms by extracting and canceling out 2.

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