How do you simplify $8 (x +2) - 4x + 7$ ?

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Answer 1 · 2018-06-21T21:19:01

$8(x+2)-4x+7$
$=8x+16-4x+7$
$=4x+23$

Answer 2 · 2018-06-21T21:24:18

$4x+23$

Given: $8(x+2)=4x+7$

Consider just the part $8(x+2)$

This is the same as $(x+2)+(x+2)+(x+2)+...+(x+2)$

You have 8 lots of $(x+2)$ so basically you multiply everything inside the brackets by 8 giving: $8x+16$

Putting it all together:

$8x+16-4x+7$

Collecting like terms

$ubrace(8x-4x)+ubrace(16+7)$

$color(white)("dd")4xcolor(white)("dd")+color(white)("dd")23$

How do you simplify 8 (x +2) - 4x + 78 (x +2) - 4x + 7?