Solve 10-2(x-3)=3x-4(5-x)

$$10-2(x-3)=3x-4(5-x)$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

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

$$10-2x+6=3x-4\left(5-x\right)$$

Add 10 and 6 to get 16.

$$16-2x=3x-4\left(5-x\right)$$

Use the distributive property to multiply -4 by 5-x.

$$16-2x=3x-20+4x$$

Combine 3x and 4x to get 7x.

$$16-2x=7x-20$$

Subtract 7x from both sides.

$$16-2x-7x=-20$$

Combine -2x and -7x to get -9x.

$$16-9x=-20$$

Subtract 16 from both sides.

$$-9x=-20-16$$

Subtract 16 from -20 to get -36.

$$-9x=-36$$

Divide both sides by -9.

$$x=\frac{-36}{-9}$$

Divide -36 by -9 to get 4.

$$x=4$$