Solve x+2*220+80=90%(5/4x+2*275)

$$x + 2 \times 220 + 80 = 90 \% ( \frac { 5 } { 4 } x + 2 \times 275 )$$

Solve for x

$$x=200$$

Steps for Solving Linear Equation

Multiply 2 and 220 to get 440.

$$x+440+80=\frac{90}{100}\left(\frac{5}{4}x+2\times 275\right)$$

Add 440 and 80 to get 520.

$$x+520=\frac{90}{100}\left(\frac{5}{4}x+2\times 275\right)$$

Reduce the fraction \frac{90}{100} to lowest terms by extracting and canceling out 10.

$$x+520=\frac{9}{10}\left(\frac{5}{4}x+2\times 275\right)$$

Multiply 2 and 275 to get 550.

$$x+520=\frac{9}{10}\left(\frac{5}{4}x+550\right)$$

Use the distributive property to multiply \frac{9}{10} by \frac{5}{4}x+550.

$$x+520=\frac{9}{10}\times \frac{5}{4}x+\frac{9}{10}\times 550$$

Multiply \frac{9}{10} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$x+520=\frac{9\times 5}{10\times 4}x+\frac{9}{10}\times 550$$

Do the multiplications in the fraction \frac{9\times 5}{10\times 4}.

$$x+520=\frac{45}{40}x+\frac{9}{10}\times 550$$

Reduce the fraction \frac{45}{40} to lowest terms by extracting and canceling out 5.

$$x+520=\frac{9}{8}x+\frac{9}{10}\times 550$$

Express \frac{9}{10}\times 550 as a single fraction.

$$x+520=\frac{9}{8}x+\frac{9\times 550}{10}$$

Multiply 9 and 550 to get 4950.

$$x+520=\frac{9}{8}x+\frac{4950}{10}$$

Divide 4950 by 10 to get 495.

$$x+520=\frac{9}{8}x+495$$

Subtract \frac{9}{8}x from both sides.

$$x+520-\frac{9}{8}x=495$$

Combine x and -\frac{9}{8}x to get -\frac{1}{8}x.

$$-\frac{1}{8}x+520=495$$

Subtract 520 from both sides.

$$-\frac{1}{8}x=495-520$$

Subtract 520 from 495 to get -25.

$$-\frac{1}{8}x=-25$$

Multiply both sides by -8, the reciprocal of -\frac{1}{8}.

$$x=-25\left(-8\right)$$

Multiply -25 and -8 to get 200.

$$x=200$$