Question

Simplify the expression 2/5(10x+3/4)-2x

Answer 1

$\boldsymbol{\sf{\dfrac{2}{5}\left(10x+\dfrac{3}{4}\right)-2x }}$

Use the distributive property to multiply 2/5 by 10 x + 3/4.

            $\boldsymbol{\sf{\dfrac{2}{5}\times10x+\dfrac{2}{5}\times\left(\dfrac{2}{5}\right)-2x }}$

Express 2/5 x 10 as a single fraction.

            $\boldsymbol{\sf{\dfrac{2\times10}{5}x+\dfrac{2}{5}\times\left(\dfrac{2}{5}\right)-2x \ \ \longmapsto \ \ [Multiply \ 2\times10] }}$

                   $\boldsymbol{\sf{\dfrac{20}{5}x+\dfrac{2}{5}\times\left(\dfrac{2}{5}\right)-2x \ \ \longmapsto \ \ [Divide \ 20 \ by \ 5.] }}$

                     $\boldsymbol{\sf{4x+\dfrac{2}{5}\times\left(\dfrac{2}{5}\right)-2x }}$

Multiply 2/5 by 3/4 (to do this, multiply the numerator by the numerator and the denominator by the denominator).

                      $\boldsymbol{\sf{4x+\dfrac{2\times3}{5\times4}-2 \ \ \longmapsto \ \ [Multiply] }}$

                      $\boldsymbol{\sf{4x+\dfrac{6}{20}-2 }}$

Reduce the 6/20 fraction to its minimum pressure by extracting and canceling 2.

                      $\boldsymbol{\sf{4x+\dfrac{3}{10}-2 }}$

Combine 4x and −2x to get 2x.

                                 $\red{\boxed{\boldsymbol{\sf{ \blue{Answer \ \ \longmapsto \ \ 2x+\dfrac{3}{10} }}}}}$

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Answer 2

Answer:

Step-by-step explanation:

1) Expand by distributing terms.

$4x+\frac{3}{10} -2x$

2) Collect like terms.

$(4x-2x)+\frac{3}{10}$

3)  Simplify.

$2x+\frac{3}{10}$

Thank you,

Eddie