2x+65=7x+13

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Solution for 2x+65=7x+13 equation:


Simplifying
2x + 65 = 7x + 13

Reorder the terms:
65 + 2x = 7x + 13

Reorder the terms:
65 + 2x = 13 + 7x

Solving
65 + 2x = 13 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
65 + 2x + -7x = 13 + 7x + -7x

Combine like terms: 2x + -7x = -5x
65 + -5x = 13 + 7x + -7x

Combine like terms: 7x + -7x = 0
65 + -5x = 13 + 0
65 + -5x = 13

Add '-65' to each side of the equation.
65 + -65 + -5x = 13 + -65

Combine like terms: 65 + -65 = 0
0 + -5x = 13 + -65
-5x = 13 + -65

Combine like terms: 13 + -65 = -52
-5x = -52

Divide each side by '-5'.
x = 10.4

Simplifying
x = 10.4

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