Question

2/8x+3/8(x-1)=4 solve for x​

Answer 1

$\dfrac 28 x + \dfrac 38 (x-1) = 4\\\\\implies \dfrac 18(2x + 3x -3) = 4\\\\\implies 5x -3 = 32\\\\\implies 5x = 32 +3 \\\\\implies 5x = 35\\\\\implies x = \dfrac{35}5\\\\\implies x = 7$

Answer 2

Answer:

The value of x is 7.

Step-by-step explanation:

Question :

${\implies{\sf{\dfrac{2}{8} x + \dfrac{3}{8}(x - 1) = 4}}}$

Solution :

${\implies{\sf{\dfrac{2}{8} x + \dfrac{3}{8}(x - 1) = 4}}}$

${\implies{\sf{\dfrac{2}{8} \times x + \dfrac{3}{8}(x - 1) = 4}}}$

${\implies{\sf{\dfrac{2 \times x}{8} + \dfrac{3(x - 1)}{8} = 4}}}$

${\implies{\sf{\dfrac{2x}{8} + \dfrac{3x - 3}{8} = 4}}}$

${\implies{\sf{\dfrac{2x + 3x - 3}{8} = 4}}}$

${\implies{\sf{\dfrac{5x - 3}{8} = 4}}}$

${\implies{\sf{{5x - 3} = 4 \times 8}}}$

${\implies{\sf{{5x - 3} =32}}}$

${\implies{\sf{5x = 32 + 3}}}$

${\implies{\sf{5x = 35}}}$

${\implies{\sf{x = 35 \div 5}}}$

${\implies{\sf{x = \dfrac{35}{5}}}}$

${\implies{\sf{x = \cancel{\dfrac{35}{5}}}}}$

${\implies{\sf{x = 7}}}$

$\star{\underline{\boxed{\sf{\pink{x = 7}}}}}$

Hence, the value of x is 7.

$\rule{300}{1.5}$