Solve 5x+[4x-3(2x+7)]=6(2x-3)-3

$$5 x + [ 4 x - 3 ( 2 x + 7 ) ] = 6 ( 2 x - 3 ) - 3$$

Solve for x

$$x=0$$

Steps for Solving Linear Equation

Combine 5x and 4x to get 9x.

$$9x-3\left(2x+7\right)=6\left(2x-3\right)-3$$

Use the distributive property to multiply -3 by 2x+7.

$$9x-6x-21=6\left(2x-3\right)-3$$

Combine 9x and -6x to get 3x.

$$3x-21=6\left(2x-3\right)-3$$

Use the distributive property to multiply 6 by 2x-3.

$$3x-21=12x-18-3$$

Subtract 3 from -18 to get -21.

$$3x-21=12x-21$$

Subtract 12x from both sides.

$$3x-21-12x=-21$$

Combine 3x and -12x to get -9x.

$$-9x-21=-21$$

Add 21 to both sides.

$$-9x=-21+21$$

Add -21 and 21 to get 0.

$$-9x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since -9 is not equal to 0, x must be equal to 0.

$$x=0$$