a)
[tex]3 \times x + 10 - 2 \times x = 4 \times x + 1[/tex]
[tex]3x + 10 - 2x = 4x + 1[/tex]
[tex]3x - 2x - 4x = 1 - 10[/tex]
[tex] - 3x = - 9[/tex]
[tex]x = - 9 \div ( - 3) = 3[/tex]
b)
[tex]8 - 2 \times x - 5 + 5 \times x = 8 + 4 \times x - 3[/tex]
[tex]8 - 2x - 5 + 5 x = 8 + 4x - 3[/tex]
[tex] - 2x + 5x - 4x = 8 - 3 - 8 + 5[/tex]
[tex] - x = 2[/tex]
[tex]x = 2 \div ( - 1) = - 2[/tex]
c)
[tex]7 \times x - 4 + 3 \times x + 6 = 9 - 2 \times x + 7 + 5 \times x[/tex]
[tex]7x - 4 + 3x + 6 = 9 - 2x + 7 + 5x[/tex]
[tex]7x + 3x + 2x - 5x = 7 + 9 + 4 - 6[/tex]
[tex]7x = 14[/tex]
[tex]x = 14 \div 7 = 2[/tex]
d)
[tex]1 - 4 \times x - 5 - 5 \times x + 2 = 6 \times x - 6 - 8 \times x - 3[/tex]
[tex]1 - 4x - 5 - 5x + 2 = 6x - 6 - 8x - 3[/tex]
[tex] - 4x - 5x - 6x + 8x = - 6 - 3 - 1 + 5 - 2[/tex]
[tex] - 7x = - 7[/tex]
[tex]x = - 7 \div ( - 7) = 1[/tex]
e)
[tex] - 3 \times x + 2 + x = 2 \times x + 6 + 2 \times x + 2[/tex]
[tex] - 3x + 2 + x = 2x + 6 + 2x + 2[/tex]
[tex] - 3x + x - 2x - 2x = 6 + 2 - 2[/tex]
[tex] - 4x = 6[/tex]
[tex]x = 6 \div ( - 4) = \frac{6}{ - 4} = - 1 \frac{2}{4} = - 1 \frac{1}{2} [/tex]
f)
[tex]4 \times x + 7 + 5 \times x = 6 \times x + 12 + 2 \times x[/tex]
[tex]4x + 7 + 5x = 6x + 12 + 2x[/tex]
[tex]4x + 5x - 6x - 2x = 12 - 7[/tex]
[tex]x = 5[/tex]
