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

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

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by 2x+1.

$$5=-6x-3+2\left(4x+2\right)$$

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

$$5=-6x-3+8x+4$$

Combine -6x and 8x to get 2x.

$$5=2x-3+4$$

Add -3 and 4 to get 1.

$$5=2x+1$$

Swap sides so that all variable terms are on the left hand side.

$$2x+1=5$$

Subtract 1 from both sides.

$$2x=5-1$$

Subtract 1 from 5 to get 4.

$$2x=4$$

Divide both sides by 2.

$$x=\frac{4}{2}$$

Divide 4 by 2 to get 2.

$$x=2$$