2x-7.5=3x-5

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Solution for 2x-7.5=3x-5 equation:


Simplifying
2x + -7.5 = 3x + -5

Reorder the terms:
-7.5 + 2x = 3x + -5

Reorder the terms:
-7.5 + 2x = -5 + 3x

Solving
-7.5 + 2x = -5 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-7.5 + 2x + -3x = -5 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-7.5 + -1x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
-7.5 + -1x = -5 + 0
-7.5 + -1x = -5

Add '7.5' to each side of the equation.
-7.5 + 7.5 + -1x = -5 + 7.5

Combine like terms: -7.5 + 7.5 = 0.0
0.0 + -1x = -5 + 7.5
-1x = -5 + 7.5

Combine like terms: -5 + 7.5 = 2.5
-1x = 2.5

Divide each side by '-1'.
x = -2.5

Simplifying
x = -2.5

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