Question

10 (3x) -1 = 3 - 2x
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Answer 1

- Ecuación de primer grado:

❀ Resolvemos:

$10(3x) - 1 = 3 - 2x \\ 30x - 1 = 3 - 2x \\ 30x + 2x = 3 + 1 \\ 32x = 4 \\ x = \frac{4}{32}$

❀ Comprobamos:

$10(3x) - 1 = 3 - 2x \\ \\ 10.( \frac{3}{1} . \frac{4}{32} ) - 1 = 3 - \frac{2}{1} . \frac{4}{32} \\ \\ 10. \frac{3.4}{1.32} - 1 = 3 - \frac{2.4}{1.32} \\ \\ \frac{10}{1} . \frac{12}{32} - 1 = \frac{3}{1} - \frac{8}{32} \\ \\ \frac{10.12}{1.32} - 1 = \frac{32 \div 1.3 - 32 \div 32.8}{32} \\ \\ \frac{120}{32} - \frac{1}{1} = \frac{96 - 8}{32} \\ \\ \frac{32 \div 32.120 - 32 \div 1.1}{32} = \frac{88}{32} \\ \\ \frac{120 - 32}{32} = \frac{88}{32} \\ \\ \frac{88}{32} = \frac{88}{32}$