Question

2x/3 - 7.5 = 0.5-3x
find the value of x​

Answer 1

2x /3 - 7.5 = 0.5 - 3x

2x /3 - 7.5 * 3 /1 * 3 = 0.5 - 3x

2x / 3 - 22.5 /3 = 0.5 - 3x

2x - 22.5 / 3 = 0.5 - 3x

2x - 7.5 = 0.5 - 3x

2x + 3x = 0.5 + 7.5

5x = 8

x = 8/5

Answer 2

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$\frac{2x}{3} - 7.5 = 0.5 - 3x \\ \\ \frac{2x}{3} + 3x = 0.5 +7.5 \\ \\ \frac{2x}{3} + \frac{9x}{3} = 8 \\ \\ \frac{2x + 9x}{3} = 8 \\ \\ \frac{11x}{3} = 8 \\ \\ 11x = 8 \times 3 \\ \\ 11x = 24 \\ \\ x = \frac{24}{11}$