6x+2-4x+102=17x+6-2x+72

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Solution for 6x+2-4x+102=17x+6-2x+72 equation:


Simplifying
6x + 2 + -4x + 102 = 17x + 6 + -2x + 72

Reorder the terms:
2 + 102 + 6x + -4x = 17x + 6 + -2x + 72

Combine like terms: 2 + 102 = 104
104 + 6x + -4x = 17x + 6 + -2x + 72

Combine like terms: 6x + -4x = 2x
104 + 2x = 17x + 6 + -2x + 72

Reorder the terms:
104 + 2x = 6 + 72 + 17x + -2x

Combine like terms: 6 + 72 = 78
104 + 2x = 78 + 17x + -2x

Combine like terms: 17x + -2x = 15x
104 + 2x = 78 + 15x

Solving
104 + 2x = 78 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
104 + 2x + -15x = 78 + 15x + -15x

Combine like terms: 2x + -15x = -13x
104 + -13x = 78 + 15x + -15x

Combine like terms: 15x + -15x = 0
104 + -13x = 78 + 0
104 + -13x = 78

Add '-104' to each side of the equation.
104 + -104 + -13x = 78 + -104

Combine like terms: 104 + -104 = 0
0 + -13x = 78 + -104
-13x = 78 + -104

Combine like terms: 78 + -104 = -26
-13x = -26

Divide each side by '-13'.
x = 2

Simplifying
x = 2

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