Question

Simplify 6(x+2)-(4x-14) the sum of two conicuative integers is -67. find the integer​

Answer 1

#1

$\tt \: 6(x + 2) - (4x - 14)$

• Distribute 6 through the parentheses

$\tt6x + 12 - 4(4x - 14)$

• Distribute -4 through the parentheses

$\tt6x + 12 - 16x + 56$

• Collect like terms

$\tt - 10x + 68$

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#2

Let the two integers be x and x+2

ATQ,

$\sf \: x + x + 2 = - 67$

Let's solve this !~

$\sf \: 2x + 2 = - 67$

$\sf \: 2x = - 67 - 2$

$\sf \: 2x = - 69$

$\sf \: x = - \frac{69}{2}$

$\sf \: x = - 34.5$

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$\large{|\underline{\mathtt{\red{N}\blue{u}\orange{m}\pink{b}\blue{e}\purple{r}\green{\:}\red{1}\blue{:}\orange{-}}}}$

$\sf = \: x \\ \sf \: = - 34.5$

$\large{|\underline{\mathtt{\red{N}\blue{u}\orange{m}\pink{b}\blue{e}\purple{r}\green{\:}\red{2}\blue{:}\orange{-}}}}$

$\sf \: = x + 2 \\ \sf = - 34.5 + 2 \\ \sf \: = - 32.5$