Solve x-left(172-xright)5=46*172

$$x- \left( 172-x \right) 5 = 46 \times 172$$

Solve for x

$$x=1462$$

Steps for Solving Linear Equation

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

$$x-\left(860-5x\right)=46\times 172$$

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

$$x-860-\left(-5x\right)=46\times 172$$

The opposite of -5x is 5x.

$$x-860+5x=46\times 172$$

Combine x and 5x to get 6x.

$$6x-860=46\times 172$$

Multiply 46 and 172 to get 7912.

$$6x-860=7912$$

Add 860 to both sides.

$$6x=7912+860$$

Add 7912 and 860 to get 8772.

$$6x=8772$$

Divide both sides by 6.

$$x=\frac{8772}{6}$$

Divide 8772 by 6 to get 1462.

$$x=1462$$