How do you solve $- 6 (3 + 6 x) - 6 = - 258$ $-6(3+6x)-6=-258$ ?

Question

1532 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-12-14T20:19:18

Step 1) Expand the terms in parenthesis:

$(- 6 \cdot 3) + (- 6 \cdot 6 x) - 6 = - 258$ $(-6*3) + (-6*6x) - 6 = -258$

$- 18 - 36 x - 6 = - 258$ $-18 - 36x - 6 = - 258$

Step 2) Combine like terms:

$- 24 - 36 x = - 258$ $-24 - 36x = - 258$

Step 3) Isolate the $x$ $x$ term on one side of the equation while keeping the equation balanced:

$- 24 + 24 - 36 x = - 258 + 24$ $-24 + 24 - 36x = -258 + 24$

$0 - 36 x = - 234$ $0 - 36x = -234$

$- 36 x = - 234$ $-36x = -234$

Step 4) Solve for $x$ $x$ while keeping the equation balanced:

$\frac{- 36 x}{- 36} = \frac{- 234}{- 36}$ $(-36x)/-36 = (-234)/-36$

$(cancel(-36)x)/cancel(-36) = 6.5$

$x = 6.5$

How do you solve -6(3+6x)-6=-258−6(3+6x)−6=−258-6(3+6x)-6=-258?