Chapter SH, Problem 3.3EP

To determine

To solve the equation $-5x+14=7x-28$ .

Answer to Problem 3.3EP

  $x=3.5$

Explanation of Solution

Given information:

The equation is $-5x+14=7x-28$

Calculation:

  $-5x+14=7x-28$

Rearranging the equation

  $-5x-7x=-28-14$

Adding terms

  $-12x=-42$

Removing negative sign

  $12x=42$

  $x=\frac{42}{12}$

On solving,

  $x=3.5$