2(x-3)-3(x-2)-5=0

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Solution for 2(x-3)-3(x-2)-5=0 equation:


Simplifying
2(x + -3) + -3(x + -2) + -5 = 0

Reorder the terms:
2(-3 + x) + -3(x + -2) + -5 = 0
(-3 * 2 + x * 2) + -3(x + -2) + -5 = 0
(-6 + 2x) + -3(x + -2) + -5 = 0

Reorder the terms:
-6 + 2x + -3(-2 + x) + -5 = 0
-6 + 2x + (-2 * -3 + x * -3) + -5 = 0
-6 + 2x + (6 + -3x) + -5 = 0

Reorder the terms:
-6 + 6 + -5 + 2x + -3x = 0

Combine like terms: -6 + 6 = 0
0 + -5 + 2x + -3x = 0
-5 + 2x + -3x = 0

Combine like terms: 2x + -3x = -1x
-5 + -1x = 0

Solving
-5 + -1x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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