2x+75=3x+5

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Solution for 2x+75=3x+5 equation:


Simplifying
2x + 75 = 3x + 5

Reorder the terms:
75 + 2x = 3x + 5

Reorder the terms:
75 + 2x = 5 + 3x

Solving
75 + 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.
75 + 2x + -3x = 5 + 3x + -3x

Combine like terms: 2x + -3x = -1x
75 + -1x = 5 + 3x + -3x

Combine like terms: 3x + -3x = 0
75 + -1x = 5 + 0
75 + -1x = 5

Add '-75' to each side of the equation.
75 + -75 + -1x = 5 + -75

Combine like terms: 75 + -75 = 0
0 + -1x = 5 + -75
-1x = 5 + -75

Combine like terms: 5 + -75 = -70
-1x = -70

Divide each side by '-1'.
x = 70

Simplifying
x = 70

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