Solve 4(x+1)=7(x-2)-12

$$4 ( x + 1 ) = 7 ( x - 2 ) - 12$$

Solve for x

$$x=10$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by x+1.

$$4x+4=7\left(x-2\right)-12$$

Use the distributive property to multiply 7 by x-2.

$$4x+4=7x-14-12$$

Subtract 12 from -14 to get -26.

$$4x+4=7x-26$$

Subtract 7x from both sides.

$$4x+4-7x=-26$$

Combine 4x and -7x to get -3x.

$$-3x+4=-26$$

Subtract 4 from both sides.

$$-3x=-26-4$$

Subtract 4 from -26 to get -30.

$$-3x=-30$$

Divide both sides by -3.

$$x=\frac{-30}{-3}$$

Divide -30 by -3 to get 10.

$$x=10$$