Solve 10+3(x-13)=-5(1-x)+14

$$10 + 3 ( x - 13 ) = - 5 ( 1 - x ) + 14$$

Solve for x

$$x=-19$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x-13.

$$10+3x-39=-5\left(1-x\right)+14$$

Subtract 39 from 10 to get -29.

$$-29+3x=-5\left(1-x\right)+14$$

Use the distributive property to multiply -5 by 1-x.

$$-29+3x=-5+5x+14$$

Add -5 and 14 to get 9.

$$-29+3x=9+5x$$

Subtract 5x from both sides.

$$-29+3x-5x=9$$

Combine 3x and -5x to get -2x.

$$-29-2x=9$$

Add 29 to both sides.

$$-2x=9+29$$

Add 9 and 29 to get 38.

$$-2x=38$$

Divide both sides by -2.

$$x=\frac{38}{-2}$$

Divide 38 by -2 to get -19.

$$x=-19$$