Solve 3-23x=-14(x-21)-15(x+33)

$$3 - 23 x = - 14 ( x - 21 ) - 15 ( x + 33 )$$

Solve for x

$$x=-34$$

Steps for Solving Linear Equation

Use the distributive property to multiply -14 by x-21.

$$3-23x=-14x+294-15\left(x+33\right)$$

Use the distributive property to multiply -15 by x+33.

$$3-23x=-14x+294-15x-495$$

Combine -14x and -15x to get -29x.

$$3-23x=-29x+294-495$$

Subtract 495 from 294 to get -201.

$$3-23x=-29x-201$$

Add 29x to both sides.

$$3-23x+29x=-201$$

Combine -23x and 29x to get 6x.

$$3+6x=-201$$

Subtract 3 from both sides.

$$6x=-201-3$$

Subtract 3 from -201 to get -204.

$$6x=-204$$

Divide both sides by 6.

$$x=\frac{-204}{6}$$

Divide -204 by 6 to get -34.

$$x=-34$$