Solve: $6\frac{1}{2} +1\frac{1}{2}( 1-2x) =-4$.

Given:

Given equation is $6\frac{1}{2} +1\frac{1}{2}( 1-2x) =-4$.

To do:

We have to solve the given equation.

Solution:

$ 6\frac{1}{2} +1\frac{1}{2}( 1-2x) =-4$

$\frac{6\times 2+1}{2} +\frac{1\times 2+1}{2}( 1-2x) =-4$

$\frac{12+1}{2} +\frac{2+1}{2}( 1-2x) =-4$

$\frac{13}{2} +\frac{3}{2}( 1-2x) =-4$

$\frac{13+3( 1-2x)}{2} =-4$

$13+3( 1) -3( 2x) =2\times ( -4)$

$13+3-6x=-8$

$16-6x=-8$

$6x=16+8$

$6x=24$

$x=\frac{24}{6}$

$x=4$

The value of x is 4.

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Updated on: 10-Oct-2022

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