95-(5x+14)=5(x+3)+x

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Solution for 95-(5x+14)=5(x+3)+x equation:


Simplifying
95 + -1(5x + 14) = 5(x + 3) + x

Reorder the terms:
95 + -1(14 + 5x) = 5(x + 3) + x
95 + (14 * -1 + 5x * -1) = 5(x + 3) + x
95 + (-14 + -5x) = 5(x + 3) + x

Combine like terms: 95 + -14 = 81
81 + -5x = 5(x + 3) + x

Reorder the terms:
81 + -5x = 5(3 + x) + x
81 + -5x = (3 * 5 + x * 5) + x
81 + -5x = (15 + 5x) + x

Combine like terms: 5x + x = 6x
81 + -5x = 15 + 6x

Solving
81 + -5x = 15 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
81 + -5x + -6x = 15 + 6x + -6x

Combine like terms: -5x + -6x = -11x
81 + -11x = 15 + 6x + -6x

Combine like terms: 6x + -6x = 0
81 + -11x = 15 + 0
81 + -11x = 15

Add '-81' to each side of the equation.
81 + -81 + -11x = 15 + -81

Combine like terms: 81 + -81 = 0
0 + -11x = 15 + -81
-11x = 15 + -81

Combine like terms: 15 + -81 = -66
-11x = -66

Divide each side by '-11'.
x = 6

Simplifying
x = 6

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