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How do you solve $3 (2 x - 5) - 2 (4 x + 1) = - 5 (x + 3) - 2$ $3(2x - 5) - 2(4x + 1) = -5(x + 3) -2$ ?

1 Answer

Mar 31, 2018

$x = 0$ $x=0$

Explanation:

Given
$XXX 3 (2 x - 5) - 2 (4 x + 1) = - 5 (x + 3) - 2$ $color(white)("XXX")color(magenta)(3(2x-5))-color(lime)(2(4x+1))=color(brown)(-5(x+3))-2$

Expanding each term
$XXX (6 x - 15) - (8 x + 2) = (- 5 x - 15) - 2$ $color(white)("XXX")color(magenta)(""(6x-15))-color(lime)(""(8x+2))=color(brown)(""(-5x-15))-2$

Combining like terms on the left and right sides
$XXX - 2 x - 17 = - 5 x - 17$ $color(white)("XXX")-2x-17=-5x-17$

with the obvious solution
$XXX x = 0$ $color(white)("XXX")x=0$

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