Question #f116a

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Answer 1 · 2017-11-09T00:27:38

$x = 0$ $x = 0$

$5 + 4 x - 7 = 4 x - 2 - x$ $5 + 4x - 7 = 4x - 2 - x$

Collect like terms

$5 - 7 + 4 x = 4 x - x - 2$ $5 - 7 + 4x = 4x - x - 2$

Combine like terms

$- 2 + 4 x = 3 x - 2$ $-2 + 4x = 3x - 2$

Subtract $3 x$ $3x$ from both sides to get all the $x$ $x$ 's on the same side

$- 2 + x = - 2$ $-2 + x = -2$

Add $- 2$ $-2$ to both sides to isolate $x$ $x$

$x = 0$ $x = 0$
..................................

Check

Sub in $0$ $0$ in the place of $x$ $x$ in the original equation

$5 + 4 x - 7 = 4 x - 2 - x$ $5 + 4x - 7 = 4x - 2 - x$

$5 + 4 \cdot 0 - 7 = 4 \cdot 0 - 2 - 0$ $5 + 4*0 - 7 = 4*0 - 2 - 0$

$5 + 0 - 7$ $5 + 0 - 7$ should equal $0 - 2 - 0$ $0 - 2 - 0$

$- 2$ $-2$ does equal $- 2$ $-2$

Check!