Question

Maths equation, please help.

0.18 ( 5x - 4 ) = 0.5x + 0.8

Thank you! Best answer gets Brainlist.

Answer 1

Answer:

$\Large\boxed{\mathsf{X=\frac{19}{5}=3.8 }}$

Step-by-step explanation:

GIVEN:

$\Large\boxed{\mathsf{LESSON: ADD \quad AND \quad SUBTRACTING \quad EXPRESSIONS}}}}$

TO FIND:

Isolate by the x from one side of the equation.

Solve with equation of 0.18(5x-4)=0.5x+0.8.

SOLUTIONS:

First, multiply by 100 from both sides.

$\displaystyle \mathsf{0.18(5x-4)*100=0.5x*100+0.8*100}$

Solve.

$\displaystyle \mathsf{18(5x-4)=50x+80}$

Expand.

$\displaystyle \mathsf{18(5x-4)}$

$\displaystyle \mathsf{DISTRIBUTIVE \quad PROPERTY}$

$\displaystyle \mathsf{A(B-C)=AB-AC}}$

$\displaystyle \mathsf{A(B+C)=AB+AC}$

$\displaystyle \mathsf{A=18}\\\\\displaystyle \mathsf{B=5x}\\\\\displaystyle \mathsf{C=4}$

$\displaystyle \mathsf{18*5x-18*4}$

Solve.

Multiply.

$\displaystyle \mathsf{18\times5=90}}\\\\\displaystyle \mathsf{18\times4=72}\\\\\displaystyle \mathsf{=90x-72}$

Rewrite the equation problem.

$\displaystyle \mathsf{90x-72=50x+80}$

Then, add by 72 from both sides.

$\displaystyle \mathsf{90x-72+72=50x+80+72}$

Solve.

$\displaystyle \mathsf{90x=50x+152}$

Subtract by 50x from both sides.

$\displaystyle \mathsf{90x-50x=50x+152-50x}$

Solve.

$\displaystyle \mathsf{90x-50x=40x}$

$\displaystyle \mathsf{40x=152}$

Divide by 40 from both sides.

$\displaystyle \mathsf{\frac{40x}{40}= \frac{152}{40} }$

Solve.

$\displaystyle \mathsf{\boxed{X=\frac{19}{5}=3.8 }}}$

$\Large\boxed{\mathsf{X=\frac{19}{5}=3.8 }}$

Therefore, the correct answer is x=19/5=3.8.