5x+6x-81=7x+102

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Solution for 5x+6x-81=7x+102 equation:


Simplifying
5x + 6x + -81 = 7x + 102

Reorder the terms:
-81 + 5x + 6x = 7x + 102

Combine like terms: 5x + 6x = 11x
-81 + 11x = 7x + 102

Reorder the terms:
-81 + 11x = 102 + 7x

Solving
-81 + 11x = 102 + 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.
-81 + 11x + -7x = 102 + 7x + -7x

Combine like terms: 11x + -7x = 4x
-81 + 4x = 102 + 7x + -7x

Combine like terms: 7x + -7x = 0
-81 + 4x = 102 + 0
-81 + 4x = 102

Add '81' to each side of the equation.
-81 + 81 + 4x = 102 + 81

Combine like terms: -81 + 81 = 0
0 + 4x = 102 + 81
4x = 102 + 81

Combine like terms: 102 + 81 = 183
4x = 183

Divide each side by '4'.
x = 45.75

Simplifying
x = 45.75

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