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a) \(\frac{45-\left(3x+9\right)}{13}=42\)
\(\Leftrightarrow45-\left(3x+9\right)=546\)
\(\Leftrightarrow3x+9=-501\)
\(\Leftrightarrow3x=-510\)
\(\Leftrightarrow x=-170\)
b) \(\left(x+1\right)+\left(2x+2\right)+...+\left(20x+20\right)=1050\)
\(\Leftrightarrow x+1+2x+2+...+20x+20=1050\)
\(\Leftrightarrow\left(x+1\right)+2\left(x+1\right)+....+20\left(x+1\right)=1050\)
\(\Leftrightarrow\left(x+1\right)\left(1+2+3+...+20\right)=1050\)
\(\Leftrightarrow\left(x+1\right)\left[\frac{\left(20+1\right).20}{2}\right]=1050\)
\(\Leftrightarrow\left(x+1\right).210=1050\)
\(\Leftrightarrow x+1=5\)
\(\Leftrightarrow x=4\)
a; -2\(x\) - 3.(\(x-17\)) = 34 - 2.( - \(x\) + 25)
- 2\(x\) - 3\(x\) + 51 = 34 + 2\(x\) - 50
2\(x\) + 2\(x\) + 3\(x\) = - 34 + 50 + 51
7\(x\) = 67
\(x\) = 67 : 7
\(x\) = \(\dfrac{67}{7}\)
Vậy \(x\) = \(\dfrac{67}{7}\)
b; 17\(x\) + 3.(- 16\(x\) - 37) = 2\(x\) + 43 - 4\(x\)
17\(x\) - 48\(x\) - 111 = 2\(x\) - 4\(x\) + 43
- 31\(x\) - 2\(x\) + 4\(x\) = 111 + 43
- \(x\) x (31 + 2 - 4) = 154
- \(x\) x (33 - 4) = 154
- \(x\) x 29 = 154
- \(x\) = 154 : (-29)
\(x\) = - \(\dfrac{154}{29}\)
Vậy \(x=-\dfrac{154}{29}\)
a) 2x - 31 + 42 = - 3x - 45
2x + 11 = - 3x - 45
2x + 3x = - 45 - 11
5x = - 56
x = - 56/5
b) - 25 + 2x = 15 + 17 - x
2x + x = 32 + 25
3x = 57
x = 19