Explicação passo-a-passo:
[tex]a)(4x + 6) - 2x = (x - 6) + 10 + 14[/tex]
[tex]4x - 2x - x = 14 + 10 - 6 + 6 \\ x = 24[/tex]
[tex]b)(x - 3) - (x + 2) + 2.(x - 1) - 5 = 0 \\ x - 3 - x - 2 + 2x - 5 = 0 \\ 2x = 5 + 2 + 3 \\ 2x = 10 \\ x = \frac{10}{2} [/tex]
[tex]x = 5[/tex]
[tex]c)3x - 2.(4x - 3) = 2 - 3.(x - 1) \\ 3x - 8x + 6 = . - 3x + 3 \\ 3x - 8x + 3x = 3 - 6 \\ - 2x = - 3 \: \: \: \times ( - 1) \\ 2x = 3 \\ x = \frac{3}{2} [/tex]
[tex]d)3.(x - 1) - (x - 3) + 5.(x - 2) = 18 \\ 3x - 3 - x + 3 + 5x - 10 = 18 \\ 7x = 18 + 10 \\ 7x = 28 \\ x = \frac{28}{7} [/tex]
[tex]x = 4[/tex]
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Explicação passo-a-passo:
[tex]a)(4x + 6) - 2x = (x - 6) + 10 + 14[/tex]
[tex]4x - 2x - x = 14 + 10 - 6 + 6 \\ x = 24[/tex]
[tex]b)(x - 3) - (x + 2) + 2.(x - 1) - 5 = 0 \\ x - 3 - x - 2 + 2x - 5 = 0 \\ 2x = 5 + 2 + 3 \\ 2x = 10 \\ x = \frac{10}{2} [/tex]
[tex]x = 5[/tex]
[tex]c)3x - 2.(4x - 3) = 2 - 3.(x - 1) \\ 3x - 8x + 6 = . - 3x + 3 \\ 3x - 8x + 3x = 3 - 6 \\ - 2x = - 3 \: \: \: \times ( - 1) \\ 2x = 3 \\ x = \frac{3}{2} [/tex]
[tex]d)3.(x - 1) - (x - 3) + 5.(x - 2) = 18 \\ 3x - 3 - x + 3 + 5x - 10 = 18 \\ 7x = 18 + 10 \\ 7x = 28 \\ x = \frac{28}{7} [/tex]
[tex]x = 4[/tex]