Solve 3(5x-7)+2(9x-11)=4(8x-7)-111

$$3 ( 5 x - 7 ) + 2 ( 9 x - 11 ) = 4 ( 8 x - 7 ) - 111$$

Solve for x

$$x=-96$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 5x-7.

$$15x-21+2\left(9x-11\right)=4\left(8x-7\right)-111$$

Use the distributive property to multiply 2 by 9x-11.

$$15x-21+18x-22=4\left(8x-7\right)-111$$

Combine 15x and 18x to get 33x.

$$33x-21-22=4\left(8x-7\right)-111$$

Subtract 22 from -21 to get -43.

$$33x-43=4\left(8x-7\right)-111$$

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

$$33x-43=32x-28-111$$

Subtract 111 from -28 to get -139.

$$33x-43=32x-139$$

Subtract 32x from both sides.

$$33x-43-32x=-139$$

Combine 33x and -32x to get x.

$$x-43=-139$$

Add 43 to both sides.

$$x=-139+43$$

Add -139 and 43 to get -96.

$$x=-96$$