Solve 9(2x-1)+2(3x+4)=20x+3

$$9 ( 2 x - 1 ) + 2 ( 3 x + 4 ) = 20 x + 3$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 9 by 2x-1.

$$18x-9+2\left(3x+4\right)=20x+3$$

Use the distributive property to multiply 2 by 3x+4.

$$18x-9+6x+8=20x+3$$

Combine 18x and 6x to get 24x.

$$24x-9+8=20x+3$$

Add -9 and 8 to get -1.

$$24x-1=20x+3$$

Subtract 20x from both sides.

$$24x-1-20x=3$$

Combine 24x and -20x to get 4x.

$$4x-1=3$$

Add 1 to both sides.

$$4x=3+1$$

Add 3 and 1 to get 4.

$$4x=4$$

Divide both sides by 4.

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

Divide 4 by 4 to get 1.

$$x=1$$