Solve -4(x+2)+2(3x-5)=12x-5(1+x)+2

$$-4(x+2)+2(3x-5)=12x-5(1+x)+2$$

Solve for x

$$x=-3$$

Steps for Solving Linear Equation

Use the distributive property to multiply -4 by x+2.

$$-4x-8+2\left(3x-5\right)=12x-5\left(1+x\right)+2$$

Use the distributive property to multiply 2 by 3x-5.

$$-4x-8+6x-10=12x-5\left(1+x\right)+2$$

Combine -4x and 6x to get 2x.

$$2x-8-10=12x-5\left(1+x\right)+2$$

Subtract 10 from -8 to get -18.

$$2x-18=12x-5\left(1+x\right)+2$$

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

$$2x-18=12x-5-5x+2$$

Combine 12x and -5x to get 7x.

$$2x-18=7x-5+2$$

Add -5 and 2 to get -3.

$$2x-18=7x-3$$

Subtract 7x from both sides.

$$2x-18-7x=-3$$

Combine 2x and -7x to get -5x.

$$-5x-18=-3$$

Add 18 to both sides.

$$-5x=-3+18$$

Add -3 and 18 to get 15.

$$-5x=15$$

Divide both sides by -5.

$$x=\frac{15}{-5}$$

Divide 15 by -5 to get -3.

$$x=-3$$