Solve -3*(x+4)=2*(x-3)+34

$$- 3 \cdot ( x + 4 ) = 2 \cdot ( x - 3 ) + 34$$

Solve for x

$$x=-8$$

Steps for Solving Linear Equation

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

$$-3x-12=2\left(x-3\right)+34$$

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

$$-3x-12=2x-6+34$$

Add -6 and 34 to get 28.

$$-3x-12=2x+28$$

Subtract 2x from both sides.

$$-3x-12-2x=28$$

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

$$-5x-12=28$$

Add 12 to both sides.

$$-5x=28+12$$

Add 28 and 12 to get 40.

$$-5x=40$$

Divide both sides by -5.

$$x=\frac{40}{-5}$$

Divide 40 by -5 to get -8.

$$x=-8$$