Question

Remove the parentheses and solve for the variable. Check the solution. Answers that are not integers may be left in fractional form or decimal form.0.9x -0.7(6 - x)= 6.2(Simplify your answer.)

Answer 1

We need to solve for x in the equation:

$0.9x-0.7\cdot(6-x)=6.2$

We need to apply the distributive property to remove the parenthesis:

$0.9x-4.2+0.7x=6.2$

Then we need to add the like terms:

$1.6x-4.2=6.2\Rightarrow1.6x=6.2+4.2\Rightarrow1.6x=10.4\Rightarrow x=\frac{10.4}{1.6}\Rightarrow x=6.5$

Then, the value for x is 6.5 (decimal form) or

$x=6\frac{1}{2}$

To check the solution:

$0.9\cdot(6.5)-4.2+0.7\cdot(6.5)=6.2$