2x+65=3x-10

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Solution for 2x+65=3x-10 equation:


Simplifying
2x + 65 = 3x + -10

Reorder the terms:
65 + 2x = 3x + -10

Reorder the terms:
65 + 2x = -10 + 3x

Solving
65 + 2x = -10 + 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.
65 + 2x + -3x = -10 + 3x + -3x

Combine like terms: 2x + -3x = -1x
65 + -1x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
65 + -1x = -10 + 0
65 + -1x = -10

Add '-65' to each side of the equation.
65 + -65 + -1x = -10 + -65

Combine like terms: 65 + -65 = 0
0 + -1x = -10 + -65
-1x = -10 + -65

Combine like terms: -10 + -65 = -75
-1x = -75

Divide each side by '-1'.
x = 75

Simplifying
x = 75

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