Răspuns:
a) \(4(x + 2) - 3x = -17\) daca ceva \- x
\[4x + 8 - 3x = -17\]
\[x = -25\]
d) \(32 - 7(x - 5) = 3(x - 1)\)
\[32 - 7x + 35 = 3x - 3\]
\[10x = 0\]
\[x = 0\]
g) \(14 - 8(x + 3) = 2x\)
\[14 - 8x - 24 = 2x\]
\[-10x = 10\]
\[x = -1\]
i) \(6(x - 4) + 44 = 4(2x + 1) + 2x\)
\[6x - 24 + 44 = 8x + 4 + 2x\]
\[6x + 20 = 10x + 4\]
\[4x = 16\]
\[x = 4\]
k) \(3(x + 2) - 8 = 2(4x + 3) - 3x\)
\[3x + 6 - 8 = 8x + 6 - 3x\]
\[x = 1\]
m) \(4(x + 5) - 5(x + 3) = x - 5\)
\[4x + 20 - 5x - 15 = x - 5\]
\[-x + 5 = x - 5\]
\[2x = 10\]
\[x = 5\]
o) \(3(2x + 3) - 2(3x + 2) = -3(x + 2) + 2\)
\[6x + 9 - 6x - 4 = -3x - 6 + 2\]
\[5 = -3x - 4\]
\[3x = -9\]
\[x = -3\]
r) \(x - 15 + 3(x + 1) = 5(x - 2) + 11\)
\[x - 15 + 3x + 3 = 5x - 10 + 11\]
\[4x - 12 = 5x + 1\]
\[x = -13\]
c) \(11 - 3(x + 5) = 2x + 1\)
\[11 - 3x - 15 = 2x + 1\]
\[-5x = 5\]
\[x = -1\]
f) \(4(x + 7) - 15 = 3x\)
\[4x + 28 - 15 = 3x\]
\[x = -13\]
h) \(6(x + 3) - 4 = 2x - 42\)
\[6x + 18 - 4 = 2x - 42\]
\[4x + 14 = 2x - 42\]
\[2x = -56\]
\[x = -28\]
j) \(5(2x - 3) - 4x = 3(x - 8) + 63\)
\[10x - 15 - 4x = 3x - 24 + 63\]
\[6x - 15 = 3x + 39\]
\[3x = 54\]
\[x = 18\]
1) \(4(3x + 2) + 3(2x + 3) = 7(2x + 5) + 28\)
\[12x + 8 + 6x + 9 = 14x + 35 + 28\]
\[18x + 17 = 14x + 63\]
\[4x = 46\]
\[x = 11.5\]
n) \(2(x + 3) - 3(2x + 1) = 8(2x - 1) - 9\)
\[2x + 6 - 6x - 3 = 16x - 8 - 9\]
\[-4x + 3 = 16x - 17\]
\[20x = 20\]
\[x = 1\]
p) \(-3x + 5 - 4(x - 1) = -2(x + 1) - 24\)
\[-3x + 5 - 4x + 4 = -2x - 2 - 24\]
\[-7x + 9 = -2x - 26\]
\[-5x = -35\]
\[x = 7\]
s) \(5(x + 2) - 2(2x + 3) = 34 - 5x\)
\[5x + 10 - 4x - 6 = 34 - 5x\]
\[x = 6\]
Ecuatiile date sunt corecte, iar solutiile pentru variabila \(x\) sunt furnizate.
