3x+65=8x-10

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Solution for 3x+65=8x-10 equation:


Simplifying
3x + 65 = 8x + -10

Reorder the terms:
65 + 3x = 8x + -10

Reorder the terms:
65 + 3x = -10 + 8x

Solving
65 + 3x = -10 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
65 + 3x + -8x = -10 + 8x + -8x

Combine like terms: 3x + -8x = -5x
65 + -5x = -10 + 8x + -8x

Combine like terms: 8x + -8x = 0
65 + -5x = -10 + 0
65 + -5x = -10

Add '-65' to each side of the equation.
65 + -65 + -5x = -10 + -65

Combine like terms: 65 + -65 = 0
0 + -5x = -10 + -65
-5x = -10 + -65

Combine like terms: -10 + -65 = -75
-5x = -75

Divide each side by '-5'.
x = 15

Simplifying
x = 15

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