Question

Find the value of x if 2x + 3/4 = x/2+1

Answer 1

2x+3/4=x/2+1

=2x-x/4=1-3/4

=(8x-x)/4=(4-3)/4

=7x/4=1/4

=7x=1/4×4

=x=4/4×1/7

=x=1/ 7

Answer 2

Value of given equation is 1/6.

Given - Equation

Find - value of x

Solution - Solving the equation step by step to find the value of x.

Shifting similar values on particular side of equation.

$2x - \frac{x}{2} = 1 - \frac{3}{4}$

Taking LCM on LHS, we get 2 and LCM on RHS is 4.

$\frac{2x \times 2 - x}{2} = \frac{1 \times 4 - 3}{4}$

Performing multiplication and subtraction

$\frac{4x - x}{2} = \frac{4 - 3}{4}$

$\frac{3x}{2} = \frac{1}{4}$

$3x = \frac{1 \times 2}{4}$

Performing multiplication and division

$3x = \frac{1}{2}$

$x = \frac{1}{6}$

Hence, the value of x is 1/6.

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