Question #3f1d2

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Answer 1 · 2016-10-22T22:39:20

$x = - \frac{10}{7}$ $x = -10/7$

$9 x + 4 = 2 (x - 1) - 4$ $9x+4 = color(red)(2(x-1)) - 4$

$9 x + 4 = 2 x - 2 (1) - 4$ $9x+4 = color(red)(2x-2(1))-4$

$9 x + 4 = 2 x - 2 - 4$ $9x+4 = 2x-2-4$

Gather all terms containing $x$ $x$ on the left hand side of the equation, and all other terms on the right hand.

$9 x + 4 = 2 x - 2 - 4$ $9x+color(red)(4) = color(blue)(2x)-2-4$

$9x+cancel(4)cancel(color(red)(-4))color(blue)(-2x) = cancel(2x)-2-4color(red)(-4)cancel(color(blue)(-2x))$

$9x - 2x = -2 -4 -4$

${(9x-2x=7x),(-2-4-4=-10):}$

$=> 7x = -10$

$color(red)(7)x = -10$

$(7x)/color(red)(7) = (-10)/color(red)(7)$

$x = -10/7$