Solve 4(3-x)-14(x-2)-15=15-8x

$$4 ( 3 - x ) - 14 ( x - 2 ) - 15 = 15 - 8 x$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

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

$$12-4x-14\left(x-2\right)-15=15-8x$$

Use the distributive property to multiply -14 by x-2.

$$12-4x-14x+28-15=15-8x$$

Combine -4x and -14x to get -18x.

$$12-18x+28-15=15-8x$$

Add 12 and 28 to get 40.

$$40-18x-15=15-8x$$

Subtract 15 from 40 to get 25.

$$25-18x=15-8x$$

Add 8x to both sides.

$$25-18x+8x=15$$

Combine -18x and 8x to get -10x.

$$25-10x=15$$

Subtract 25 from both sides.

$$-10x=15-25$$

Subtract 25 from 15 to get -10.

$$-10x=-10$$

Divide both sides by -10.

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

Divide -10 by -10 to get 1.

$$x=1$$