Answer:
1). [tex]x = \frac{8}{7} [/tex]
2). [tex]x = - \frac{45}{2} [/tex]
Step-by-step explanation:
1) [tex]10 - \frac{1}{2} x = 6 + 3x[/tex]
[tex]20 - x = 12 + 6x[/tex]
[tex]20 - x - 6x = 12 + 6x - 6x[/tex]
[tex]20 - x - 6x = 12[/tex]
[tex] - x - 6x = 12 - 20[/tex]
[tex] - 7x = 12 - 20[/tex]
[tex] - 7x = - 8[/tex]
[tex]x = \frac{8}{7} [/tex]
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2) [tex]x = - \frac{45}{2} [/tex]
[tex] \frac{1}{2} x - \frac{1}{4} = \frac{3}{5} x + 2[/tex]
[tex]20( \frac{1}{2} x - \frac{1}{4} ) = 20( \frac{3}{5} x + 2)[/tex]
[tex]20 \times \frac{1}{2} x - 20 \times \frac{1}{4} = 20( \frac{3}{5} x + 2)[/tex]
[tex]10x - 20 \times \frac{1}{4} = 20 \times \frac{3}{5} x + 20 \times 2[/tex]
[tex]10x - 5 = 20 \times \frac{3}{5} x + 20 \times 2[/tex]
[tex]10x - 5 = 4 \times 3x + 20 \times 2[/tex]
[tex]10x - 5 = 4 \times 3x + 40[/tex]
[tex]10x - 5 - 12x = 40[/tex]
[tex]10x - 12x = 40 + 5[/tex]
[tex] - 2x = 40 - 5[/tex]
[tex] - 2x = 45[/tex]
[tex]x = - \frac{45}{2} [/tex]
