Question

4x÷3 - 3÷2 = x-2 ÷3 alguem pode me ajuda nessa aqui

Answer 1

Resposta:

$\red{x = \frac{5}{2}}$

Explicação passo-a-passo:

$\pink{4x \div 3 - 3 \div 2 = x - 2 \div 3 } \\4x \div 3 - 3 \div 2 = x - 2 \div 3 \\ \frac{4}{3}x - 3 \div 2 = x - 2 \div 3 \\ 4x \div 3 - 3 \div 2 = x - 2 \div 3 \\ - 3 \div 2 \\ - (3 \div 2) \\ - 1.5 \\ 4x \div 3 - 3 \div 2 = x - 2 \div 3 \\ \\ \frac{4}{3} \: x - 1.5 = x - 2 \div3 \\ \\ 4x \div 3 - 3 \div 2 = x - 2 \div 3 \\ \\ \frac{4}{3} \: x - 1.5 = x \frac{2}{3} \\ \: 1.5 \\ \frac{15}{10} \\ \\ \frac{ \cancel1 \cancel5}{ \cancel1 \cancel0} \\ \\ \frac{3}{2} \\ \frac{4}{3} \: x - 1.5 = x - \frac{2}{3} \\ \\ \frac{4}{3} \: x - \frac{3}{2} = x - \frac{2}{3} \\\\6( \frac{4}{3} \: x - \frac{3}{2}) = 6(x - \frac{2}{3}) \\ \\6 \times \frac{4}{3} \: x - 6 \times \frac{3}{2} = 6(x - \frac{2}{3}) \\\\6 \times \frac{4}{3} \: x - 6 \times \frac{3}{2} = 6(x - \frac{2}{3}) \\\\6( \frac{4}{3} \: x - \frac{3}{2}) = 6(x - \frac{2}{3}) \\ \\ 6 \times \frac{4}{3} \: x - 6 \times \frac{3}{2} = 6x - 6 \times \frac{2}{3}$

$\cancel6 \times \frac{4}{ \cancel3} \: x - 6 \times \frac{3}{2} = 6x - 6 \times \frac{2}{3} \\ \\ 2 \times 4x - 6 \times \frac{3}{2} = 6x - 6 \times \frac{2}{3} \\ \\ 6 \times \frac{4}{3} \: x - \cancel6 \times \frac{3}{ \cancel2} = 6 \times \frac{2}{3} \\ \\2 \times 4x - 3 \times 3 = 6x - 6 \times \frac{2}{3} \\\\6 \times \frac{4}{3}x - 6 \times \frac{3}{2} = 6x - \cancel6 \times \frac{2}{ \cancel3} \\ \\2 \times 4x - 3 \times 3 = 6x - 2 \times 2 \\ 8x - 3 \times 3 = 6x - 2 \times 2 \\ 2 \times 4x - 3 \times 3 = 6x - 2 \times 2 \\ 8x - 9 = 6x - 2 \times 2 \\ 2 \times 4x - 3 \times 3 = 6x - 2 \times 2 \\ 8x - 9 = 6x - 4 \\ \frac{4}{3}x - \frac{3}{2} = x - \frac{2}{3} \\ \\8x - 9 = 6x - 4 \\ 8x - 9 - 6x = 6x - 4 - 6x \\ 8x - 9 - 6x = - 4 \\ 8x - 9 = 6x - 4 \\ 8x - 9 - 6x = - 4 \\ 8x - 9 = 6x - 4 \\ 8x - 9 - 6x + 9 = - 4 + 9 \\ 8x - 6x = - 4 + 9 \\ 8x - 9 = 6x - 4 \\ 8x - 6x = - 4 + 9 \\ 8x - 6x \\ (8 - 6)x \\ 2x \\ 8x - 6x = - 4 + 9 \\ 2x = - 4 + 9 \\ 8x - 6x = - 4 + 9 \\ - 4 + 9 \\ + (9 - 4) \\ 5 \\ 8x - 6x = - 4 + 9 \\ 2x = 5 \\ 2x \div 2 = 5 \div 2 \\ x = 5 \div 2 \\ 2x \div 2 = 5 \div 2 \\ x = \frac{5}{2} \\ \\ 2x = 5 \\ \\ x = \frac{5}{2} \\ \green{resposta} \\ \red{x = \frac{5}{2} }$