Solve 4left(3x+7right)+9left(8x-6right)+8=12left(3x+3right)-3left(x+1right)

$$4 \left( 3x+7 \right) +9 \left( 8x-6 \right) +8 = 12 \left( 3x+3 \right) -3 \left( x+1 \right)$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by 3x+7.

$$12x+28+9\left(8x-6\right)+8=12\left(3x+3\right)-3\left(x+1\right)$$

Use the distributive property to multiply 9 by 8x-6.

$$12x+28+72x-54+8=12\left(3x+3\right)-3\left(x+1\right)$$

Combine 12x and 72x to get 84x.

$$84x+28-54+8=12\left(3x+3\right)-3\left(x+1\right)$$

Subtract 54 from 28 to get -26.

$$84x-26+8=12\left(3x+3\right)-3\left(x+1\right)$$

Add -26 and 8 to get -18.

$$84x-18=12\left(3x+3\right)-3\left(x+1\right)$$

Use the distributive property to multiply 12 by 3x+3.

$$84x-18=36x+36-3\left(x+1\right)$$

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

$$84x-18=36x+36-3x-3$$

Combine 36x and -3x to get 33x.

$$84x-18=33x+36-3$$

Subtract 3 from 36 to get 33.

$$84x-18=33x+33$$

Subtract 33x from both sides.

$$84x-18-33x=33$$

Combine 84x and -33x to get 51x.

$$51x-18=33$$

Add 18 to both sides.

$$51x=33+18$$

Add 33 and 18 to get 51.

$$51x=51$$

Divide both sides by 51.

$$x=\frac{51}{51}$$

Divide 51 by 51 to get 1.

$$x=1$$