Question

How many solutions are there to this equation? 7x-3(x-1)=2(2x+3)

Answer 1

7x-3x+3=4x+6

4x+3=4x+6

3¥6

answer to the question is no solutions

Answer 2

Equations can have one, zero or infinitely many solutions

The equation has no solution

The equation is given as:

$7x - 3(x - 1) = 2(2x + 3)$

Open brackets

$7x - 3x + 3 = 4x + 6$

Evaluate like terms

$4x + 3 = 4x + 6$

Subtract 4x from both sides

$3 = 6$

The above equation is not true, because

$3 \ne 6$

Hence, the equation has no solution

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