Solve 2(3x+2)-3(5x-6)+4(7x+8)=111

$$2 ( 3 x + 2 ) - 3 ( 5 x - 6 ) + 4 ( 7 x + 8 ) = 111$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

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

$$6x+4-3\left(5x-6\right)+4\left(7x+8\right)=111$$

Use the distributive property to multiply -3 by 5x-6.

$$6x+4-15x+18+4\left(7x+8\right)=111$$

Combine 6x and -15x to get -9x.

$$-9x+4+18+4\left(7x+8\right)=111$$

Add 4 and 18 to get 22.

$$-9x+22+4\left(7x+8\right)=111$$

Use the distributive property to multiply 4 by 7x+8.

$$-9x+22+28x+32=111$$

Combine -9x and 28x to get 19x.

$$19x+22+32=111$$

Add 22 and 32 to get 54.

$$19x+54=111$$

Subtract 54 from both sides.

$$19x=111-54$$

Subtract 54 from 111 to get 57.

$$19x=57$$

Divide both sides by 19.

$$x=\frac{57}{19}$$

Divide 57 by 19 to get 3.

$$x=3$$