Solve 49x-((5x-6)-(11-8x))=32

$$49x-((5x-6)-(11-8x))=32$$

Solve for x

$$x=\frac{5}{12}\approx 0.416666667$$

Steps for Solving Linear Equation

To find the opposite of 11-8x, find the opposite of each term.

$$49x-\left(5x-6-11-\left(-8x\right)\right)=32$$

The opposite of -8x is 8x.

$$49x-\left(5x-6-11+8x\right)=32$$

Subtract 11 from -6 to get -17.

$$49x-\left(5x-17+8x\right)=32$$

Combine 5x and 8x to get 13x.

$$49x-\left(13x-17\right)=32$$

To find the opposite of 13x-17, find the opposite of each term.

$$49x-13x-\left(-17\right)=32$$

The opposite of -17 is 17.

$$49x-13x+17=32$$

Combine 49x and -13x to get 36x.

$$36x+17=32$$

Subtract 17 from both sides.

$$36x=32-17$$

Subtract 17 from 32 to get 15.

$$36x=15$$

Divide both sides by 36.

$$x=\frac{15}{36}$$

Reduce the fraction \frac{15}{36} to lowest terms by extracting and canceling out 3.

$$x=\frac{5}{12}$$