Solve (45+x)*85%*8-8x=12(x+45-35)-12x

$$( 45 + x ) \times 85 \% \times 8 - 8 x = 12 ( x + 45 - 35 ) - 12 x$$

Solve for x

$$x=155$$

Steps for Solving Linear Equation

Reduce the fraction \frac{85}{100} to lowest terms by extracting and canceling out 5.

$$\left(45+x\right)\times \frac{17}{20}\times 8-8x=12\left(x+45-35\right)-12x$$

Express \frac{17}{20}\times 8 as a single fraction.

$$\left(45+x\right)\times \frac{17\times 8}{20}-8x=12\left(x+45-35\right)-12x$$

Multiply 17 and 8 to get 136.

$$\left(45+x\right)\times \frac{136}{20}-8x=12\left(x+45-35\right)-12x$$

Reduce the fraction \frac{136}{20} to lowest terms by extracting and canceling out 4.

$$\left(45+x\right)\times \frac{34}{5}-8x=12\left(x+45-35\right)-12x$$

Use the distributive property to multiply 45+x by \frac{34}{5}.

$$45\times \frac{34}{5}+x\times \frac{34}{5}-8x=12\left(x+45-35\right)-12x$$

Express 45\times \frac{34}{5} as a single fraction.

$$\frac{45\times 34}{5}+x\times \frac{34}{5}-8x=12\left(x+45-35\right)-12x$$

Multiply 45 and 34 to get 1530.

$$\frac{1530}{5}+x\times \frac{34}{5}-8x=12\left(x+45-35\right)-12x$$

Divide 1530 by 5 to get 306.

$$306+x\times \frac{34}{5}-8x=12\left(x+45-35\right)-12x$$

Combine x\times \frac{34}{5} and -8x to get -\frac{6}{5}x.

$$306-\frac{6}{5}x=12\left(x+45-35\right)-12x$$

Subtract 35 from 45 to get 10.

$$306-\frac{6}{5}x=12\left(x+10\right)-12x$$

Use the distributive property to multiply 12 by x+10.

$$306-\frac{6}{5}x=12x+120-12x$$

Combine 12x and -12x to get 0.

$$306-\frac{6}{5}x=120$$

Subtract 306 from both sides.

$$-\frac{6}{5}x=120-306$$

Subtract 306 from 120 to get -186.

$$-\frac{6}{5}x=-186$$

Multiply both sides by -\frac{5}{6}, the reciprocal of -\frac{6}{5}.

$$x=-186\left(-\frac{5}{6}\right)$$

Express -186\left(-\frac{5}{6}\right) as a single fraction.

$$x=\frac{-186\left(-5\right)}{6}$$

Multiply -186 and -5 to get 930.

$$x=\frac{930}{6}$$

Divide 930 by 6 to get 155.

$$x=155$$