2x+65=8x-7

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Solution for 2x+65=8x-7 equation:


Simplifying
2x + 65 = 8x + -7

Reorder the terms:
65 + 2x = 8x + -7

Reorder the terms:
65 + 2x = -7 + 8x

Solving
65 + 2x = -7 + 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 + 2x + -8x = -7 + 8x + -8x

Combine like terms: 2x + -8x = -6x
65 + -6x = -7 + 8x + -8x

Combine like terms: 8x + -8x = 0
65 + -6x = -7 + 0
65 + -6x = -7

Add '-65' to each side of the equation.
65 + -65 + -6x = -7 + -65

Combine like terms: 65 + -65 = 0
0 + -6x = -7 + -65
-6x = -7 + -65

Combine like terms: -7 + -65 = -72
-6x = -72

Divide each side by '-6'.
x = 12

Simplifying
x = 12

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