Solve 2(x-1)-6x=10-2(x-4)

$$2 ( x - 1 ) - 6 x = 10 - 2 ( x - 4 )$$

Solve for x

$$x=-10$$

Steps for Solving Linear Equation

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

$$2x-2-6x=10-2\left(x-4\right)$$

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

$$-4x-2=10-2\left(x-4\right)$$

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

$$-4x-2=10-2x+8$$

Add 10 and 8 to get 18.

$$-4x-2=18-2x$$

Add 2x to both sides.

$$-4x-2+2x=18$$

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

$$-2x-2=18$$

Add 2 to both sides.

$$-2x=18+2$$

Add 18 and 2 to get 20.

$$-2x=20$$

Divide both sides by -2.

$$x=\frac{20}{-2}$$

Divide 20 by -2 to get -10.

$$x=-10$$