2x+6=13-4x+62

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Solution for 2x+6=13-4x+62 equation:


Simplifying
2x + 6 = 13 + -4x + 62

Reorder the terms:
6 + 2x = 13 + -4x + 62

Reorder the terms:
6 + 2x = 13 + 62 + -4x

Combine like terms: 13 + 62 = 75
6 + 2x = 75 + -4x

Solving
6 + 2x = 75 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
6 + 2x + 4x = 75 + -4x + 4x

Combine like terms: 2x + 4x = 6x
6 + 6x = 75 + -4x + 4x

Combine like terms: -4x + 4x = 0
6 + 6x = 75 + 0
6 + 6x = 75

Add '-6' to each side of the equation.
6 + -6 + 6x = 75 + -6

Combine like terms: 6 + -6 = 0
0 + 6x = 75 + -6
6x = 75 + -6

Combine like terms: 75 + -6 = 69
6x = 69

Divide each side by '6'.
x = 11.5

Simplifying
x = 11.5

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