Question

1)   -12-x=2x+[5-(-2)]

2)   -(-6+3)+2.x=x-4

3)   -3x-4=-x+12

4)   4-(x-2)=6

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Answer 1

1) x = -19/3

2) x = -7

3) x = - 8

4) x = 0

Answer 2

1)   -12-x=2x+[5-(-2)]\(\Rightarrow-12-\chi=2\chi+7\)

\(\Rightarrow\chi-2\chi=-12-7\)

\(\Rightarrow\chi=-19\)

HTDT

Answer 3

2)   -(-6+3)+2.x=x-4

\(\Rightarrow3+2\chi=\chi-4\)

\(\Rightarrow2\chi-\chi=-4-3\)

\(\Rightarrow\chi=-7\)

HTDT

Answer 4

1) \(-12-x=2x+\left[5-\left(-2\right)\right]\)

\(\Leftrightarrow-12-x=2x+7\)

\(\Leftrightarrow-x=2x+7+12\)

\(\Leftrightarrow-x=2x+19\)

\(\Leftrightarrow-x-2x=2x+19-2x\)

\(\Leftrightarrow-3x=19\)

\(\Rightarrow x=-\frac{19}{3}\)

2) \(-\left(-6+3\right)+2.x=x-4\)

\(\Leftrightarrow3+2x=x-4\)

\(\Leftrightarrow2x=x-4-3\)

\(\Leftrightarrow2x=x-7\)

\(\Leftrightarrow2x-x=x-7-x\)

\(\Rightarrow x=-7\)

3) \(-3x-4=-x+12\)

\(\Leftrightarrow-3x=-x+12+4\)

\(\Leftrightarrow-3x=-x+16\)

\(\Leftrightarrow-3x+x=-x+16+x\)

\(\Leftrightarrow-2x=16\)

\(\Rightarrow x=-8\)

4) \(4-\left(x-2\right)=6\)

\(\Leftrightarrow-\left(x-2\right)=6-4\)

\(\Leftrightarrow-\left(x-2\right)=2\)

\(\Leftrightarrow x-2=-2\)

\(\Leftrightarrow x=-2+2\)

\(\Rightarrow x=0\)