Solve -10(x+3)-4(x-4)=-15(x+2)+3

$$- 10 ( x + 3 ) - 4 ( x - 4 ) = - 15 ( x + 2 ) + 3$$

Solve for x

$$x=-13$$

Steps for Solving Linear Equation

Use the distributive property to multiply -10 by x+3.

$$-10x-30-4\left(x-4\right)=-15\left(x+2\right)+3$$

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

$$-10x-30-4x+16=-15\left(x+2\right)+3$$

Combine -10x and -4x to get -14x.

$$-14x-30+16=-15\left(x+2\right)+3$$

Add -30 and 16 to get -14.

$$-14x-14=-15\left(x+2\right)+3$$

Use the distributive property to multiply -15 by x+2.

$$-14x-14=-15x-30+3$$

Add -30 and 3 to get -27.

$$-14x-14=-15x-27$$

Add 15x to both sides.

$$-14x-14+15x=-27$$

Combine -14x and 15x to get x.

$$x-14=-27$$

Add 14 to both sides.

$$x=-27+14$$

Add -27 and 14 to get -13.

$$x=-13$$