How do you solve the equation $9.5 x + 11 - 7.5 x = 14$ $9.5x+11-7.5x=14$ ?

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How do you solve the equation $9.5 x + 11 - 7.5 x = 14$ $9.5x+11-7.5x=14$ ?

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Answer 1 · 2017-04-12T11:36:53

Using first principles:

$x = 3$ $x=3$

Explanation:

$Golden rule: what you do to one side of an equation you do to the other side.$ $color(blue)("Golden rule: what you do to one side of an equation you do to the other side.")$

Subtract $11$ $color(red)(11)$ from both sides (moves the +11 from the left to the right)

$9.5 x + 11 - 11 - 7.5 x = 14 - 11$ $color(green)(9.5x+11color(red)(-11)-7.5x" "=" "14color(red)(-11))$

$9 x + 0 - 7.5 x = 3$ $9x+0-7.5x=3$

$9 x - 7.5 x = 3$ $9x-7.5x=3$

$2 x = 3$ $2x=3$

Divide both sides by $2$ $color(red)(2)$ (turns the 2 from $2 x$ $2x$ into 1)

$\frac{2}{2} \times x = 3$ $color(green)(2/(color(red)(2))xx x=3)$

$x = 3$ $x=3$

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How do you solve the equation $9.5 x + 11 - 7.5 x = 14$ $9.5x+11-7.5x=14$ ?

1 Answer

Explanation:

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How do you solve the equation $9.5 x + 11 - 7.5 x = 14$ $9.5x+11-7.5x=14$ ?