3x+61=7x+13

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Solution for 3x+61=7x+13 equation: 


Simplifying
3x + 61 = 7x + 13

Reorder the terms:
61 + 3x = 7x + 13

Reorder the terms:
61 + 3x = 13 + 7x

Solving
61 + 3x = 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.
61 + 3x + -7x = 13 + 7x + -7x

Combine like terms: 3x + -7x = -4x
61 + -4x = 13 + 7x + -7x

Combine like terms: 7x + -7x = 0
61 + -4x = 13 + 0
61 + -4x = 13

Add '-61' to each side of the equation.
61 + -61 + -4x = 13 + -61

Combine like terms: 61 + -61 = 0
0 + -4x = 13 + -61
-4x = 13 + -61

Combine like terms: 13 + -61 = -48
-4x = -48

Divide each side by '-4'.
x = 12

Simplifying
x = 12

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