Question

Solve the following equation
1) 2x-5=3(x-5)
2) 7x=5x +8
3)4x=x+15
4)2x/3+1=7x/15+3

Answer 1

Answer:

$i) \\ 2x - 5 = 3(x - 5) \\ 2x - 5 = 3x - 15 \\ 2x - 3x = 5 - 15 \\ - x = - 10 \\ x = 10 \\ ii) \\ 7x = 5x + 8 \\ 7x - 5x = 8 \\ 2x = 8 \\ x = \frac{8}{2} = 4 \\ iii) \\ 4x = x + 15 \\ 4x - x = 15 \\ 3x = 15 \\ x = \frac{15}{3} = 5 \\ iv) \\ \frac{2x}{3} + 1 = \frac{7x}{15} + 3 \\ \frac{2x}{3} - \frac{7x}{15} = 3 - 1 \\ \frac{10x - 7x}{15} = 2 \\ \frac{3x}{15} = 2 \\ \frac{x}{5} = 2 \\ x = 2 \times 5 \\ x = 10$

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Answer 2

$\blue{\bold{\underline{\underline{\huge{\boxed{\star{\mathcal{\textit {Answer: }}}}}}}}} \:$

$1)2x - 5 = 3x - 15 \\ 15 - 5 = 3x - 2x \\ 10 = x \\ 2)7x = 5x + 8 \\ 7x - 5x = 8 \\ 2x = 8$

$x = 4 \\ 3)4x = x + 15 \\ 4x - x = 15 \\ 3x = 15 \\ x = 5 \\ 4) \frac{2x}{3} + 1 = \frac{7x}{15} + 3 \\ \frac{2x + 3}{3 } = \frac{7x + 45}{15} \\ 10x + 15 = 7x + 45 \\ 3x = 30 \\ x = 10$

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