Solve x-left(172-xright)5=4.6*172

$$x- \left( 172-x \right) 5 = 4.6 \times 172$$

Solve for x

$$x=275.2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 172-x by 5.

$$x-\left(860-5x\right)=4.6\times 172$$

To find the opposite of 860-5x, find the opposite of each term.

$$x-860-\left(-5x\right)=4.6\times 172$$

The opposite of -5x is 5x.

$$x-860+5x=4.6\times 172$$

Combine x and 5x to get 6x.

$$6x-860=4.6\times 172$$

Multiply 4.6 and 172 to get 791.2.

$$6x-860=791.2$$

Add 860 to both sides.

$$6x=791.2+860$$

Add 791.2 and 860 to get 1651.2.

$$6x=1651.2$$

Divide both sides by 6.

$$x=\frac{1651.2}{6}$$

Expand \frac{1651.2}{6} by multiplying both numerator and the denominator by 10.

$$x=\frac{16512}{60}$$

Reduce the fraction \frac{16512}{60} to lowest terms by extracting and canceling out 12.

$$x=\frac{1376}{5}$$