Solve 10-4(2x-1)=-2(3-x)

$$10 - 4 ( 2 x - 1 ) = - 2 ( 3 - x )$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply -4 by 2x-1.

$$10-8x+4=-2\left(3-x\right)$$

Add 10 and 4 to get 14.

$$14-8x=-2\left(3-x\right)$$

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

$$14-8x=-6+2x$$

Subtract 2x from both sides.

$$14-8x-2x=-6$$

Combine -8x and -2x to get -10x.

$$14-10x=-6$$

Subtract 14 from both sides.

$$-10x=-6-14$$

Subtract 14 from -6 to get -20.

$$-10x=-20$$

Divide both sides by -10.

$$x=\frac{-20}{-10}$$

Divide -20 by -10 to get 2.

$$x=2$$