Question

4x-6+3(2-x)=2x-(x-4)
How many solutions are there to this equation?

Answer 1

no solutions

Explanation:

Given

4x - 6 + 3(2 - x) = 2x - (x - 4) ← distribute and simplify both sides

4x - 6 + 6 - 3x = 2x - x + 4

x = x + 4 ( subtract x from both sides )

0 = 4 ← not possible

This indicates the equation has no solution

Answer 2

No solution (0 solutions)

Explanation:

Simplify it as shown below:

4x-6+3(2-x)=2x-(x-4)

4x-6+6-3x=2x-x+4. (on the left side the negative 6 and the positive 6 cancel out, and then combine like terms on both sides)

x=x+4

No solution