1) \(\frac{x}{6}=6\)
\(6\times\frac{x}{6}=6\times6\)
\(\frac{6x}{6}=6\times6\)
\(1x=6\times6\)
\(x=6\times6\)
\(x=36\)
2) \(\frac{x}{-3}=1\)
\(-3\times\frac{x}{-3}=1\times-3\)
\(\frac{-3x}{-3}=1\times-3\)
\(1x=1\times-3\)
\(x=1\times-3\)
\(x=-3\)
3) \(2x+6=28\)
\(2x+6-6=28-6\)
\(2x+0=28-6\)
\(2x=28-6\)
\(2x=22\)
\(\frac{2x}{2}=\frac{22}{2}\)
\(1x=\frac{22}{2}\)
\(x=\frac{22}{2}\)
\(x=11\)
4) \(-6x-5=-59\)
\(-6x-5+5=-59+5\)
\(-6x-0=-59+5\)
\(-6x=-59+5\)
\(-6x=-54\)
\(\frac{-6x}{-6}=\frac{-54}{-6}\)
\(1x=\frac{-54}{-6}\)
\(x=\frac{-54}{-6}\)
\(x=9\)
5) \(7=6x-4x-1\)
\(7=2x-1\)
\(7+1=2x-1+1\)
\(7+1=2x-0\)
\(7+1=2x\)
\(8=2x\)
\(\frac{8}{2}=\frac{2x}{2}\)
\(\frac{8}{2}=1x\)
\(\frac{8}{2}=x\)
\(4=x\)
\(x=4\)
6) \(-5-7x-5x=-113\)
\(-5-12x=-113\)
\(-5-12x+5=-113+5\)
\(0-12x=-113+5\)
\(-12x=-113+5\)
\(-12x=-108\)
\(\frac{-12x}{-12}=\frac{-108}{-12}\)
\(1x=\frac{-108}{-12}\)
\(x=\frac{-108}{-12}\)
\(x=9\)
7) \(6+4x=5x=14\)
Not an Equation
8) \(-7+x=-9\)
\(-7+x+7=-9\)
\(0+x=-9\)
\(x=-9\)
9) \(6+x=-6\)
\(6+x-6=-6-6\)
\(0+x=-6-6\)
\(x=-6-6\)
\(x=-12\)
10) \(3x+6=-18\)
\(3x+6-6=-18-6\)
\(3x+0=-18-6\)
\(3x=-18-6\)
\(3x=-24\)
\(\frac{3x}{3}=\frac{-24}{3}\)
\(1x=\frac{-24}{3}\)
\(x=\frac{-24}{3}\)
\(x=-8\)
11) \(6x+5=53\)
\(6x+5-5=53-5\)
\(6x+0=53-5\)
\(6x=53-5\)
\(6x=48\)
\(\frac{6x}{6}=\frac{48}{6}\)
\(1x=\frac{48}{6}\)
\(x=\frac{48}{6}\)
\(x=8\)
12) \(4+x+4x=54\)
\(4+5x=54\)
\(4+5x-4=54-4\)
\(0+5x=54-4\)
\(5x=54-4\)
\(5x=50\)
\(\frac{5x}{5}=\frac{50}{5}\)
\(1x=\frac{50}{5}\)
\(x=\frac{50}{5}\)
\(x=10\)
13) \(4x+7-5x=-1\)
\(-1x+7=-1\)
\(-x+7=-1\)
\(-x+7-7=-1-7\)
\(-x+0=-1-7\)
\(-x=-1-7\)
\(-x=-8\)
\(-x\times-1=-8\times-1\) or \(\frac{-x}{-1}=\frac{-8}{-1}\)
\(x=8\)
14) \(5+3x=2x+18\)
\(5+3x-2x=2x-2x+18\)
\(5+x=2x-2x+18\)
\(5+x=0+18\)
\(5+x=18\)
\(5+x-5=18-5\)
\(0+x=18-5\)
\(x=18-5\)
\(x=13\)
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