Question

Resolva as seguintes equações, sendo U = Q
1)x-6=2 8
2)x+1= 7 6
3) 2x-4= 10 7
4)3x+5= 17 4
5)5x-4=-14 -2
6)4x-8=0 2
7)-6x +30 = 0 5
8)2x-5=x+1 6​​

Answer 1

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1)

$\sf{x-6=28}\\\sf{x=28+6}\\\sf{x=34}$

2)

$\sf{x+1=76}\\\sf{x=76-1}\\\sf{x=75}$

3)

$\sf{2x+4=107}\\\sf{2x=107-4}\\\sf{2x=103}\\\sf{x=\dfrac{103}{2}}$

4)

$\sf{3x+5=174}\\\sf{3x=174-5}\\\sf{3x=169}\\\sf{x=\dfrac{169}{3}}$

5)

$\sf{5x-4=-14-2}\\\sf{5x=-16+4}\\\sf{5x=-12}\\\sf{x=-\dfrac{12}{5}}$

6)

$\sf{4x-8=2}\\\sf{4x=8+2}\\\sf{4x=10}\\\sf{x=\dfrac{10\div2}{4\div2}}\\\sf{x=\dfrac{5}{2}}$

7)

$\sf{-6x+30=5}\\\sf{-6x=5-30}\\\sf{-6x=-25\cdot(-1)}\\\sf{6x=25}\\\sf{x=\dfrac{25}{6}}$

8)

$\sf{2x-5=x+16}\\\sf{2x-x=16+5}\\\huge\boxed{\boxed{\boxed{\boxed{\sf{x=21}}}}}$