Solve 2(5x+2)-4(x-3)=x+36

$$2 ( 5 x + 2 ) - 4 ( x - 3 ) = x + 36$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 5x+2.

$$10x+4-4\left(x-3\right)=x+36$$

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

$$10x+4-4x+12=x+36$$

Combine 10x and -4x to get 6x.

$$6x+4+12=x+36$$

Add 4 and 12 to get 16.

$$6x+16=x+36$$

Subtract x from both sides.

$$6x+16-x=36$$

Combine 6x and -x to get 5x.

$$5x+16=36$$

Subtract 16 from both sides.

$$5x=36-16$$

Subtract 16 from 36 to get 20.

$$5x=20$$

Divide both sides by 5.

$$x=\frac{20}{5}$$

Divide 20 by 5 to get 4.

$$x=4$$