Question 665980
Starting with
5 - 1.6(x+2) = 2(x-1.3) - .1
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Distribute around the parenthesis first
{{{5 - highlight(1.6)(highlight(x)+2) = highlight(2)(highlight(x)-1.3)-.1}}}
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{{{5 - 1.6x - highlight(1.6)(highlight(2)) = 2x + highlight(2)(highlight(-1.3))-.1}}}
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Yielding
5 - 1.6x - 3.2 = 2x - 2.6 - .1
Isolate x variables by bringing them to one side
{{{cross(5) - 1.6x - cross(3.2) - cross(5) + cross(3.2) - highlight(2x) = cross(2x) - 2.6 - .1 - cross(2x) - highlight(5) + highlight(3.2)}}}
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Yielding
-1.6x - 2x = -2.6 - .1 - 5 + 3.2
Combine like terms
-3.6x = -4.5
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Divide both sides by -3.6 to further isolate x
{{{cross(-3.6)x/cross(-3.6) = (-4.5)/(-3.6)}}}
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Yielding
{{{highlight(x = 1.25)}}}
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Check
5 - 1.6 (1.25+2) = 5 - 1.6(3.25) = 5 - 5.16 = -.2
2(1.25-1.3)-.1 = 2(-.05)-.1 = -.1 - .1 = -.2
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