98-(5x-13)=5(x+6)+x

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Solution for 98-(5x-13)=5(x+6)+x equation:


Simplifying
98 + -1(5x + -13) = 5(x + 6) + x

Reorder the terms:
98 + -1(-13 + 5x) = 5(x + 6) + x
98 + (-13 * -1 + 5x * -1) = 5(x + 6) + x
98 + (13 + -5x) = 5(x + 6) + x

Combine like terms: 98 + 13 = 111
111 + -5x = 5(x + 6) + x

Reorder the terms:
111 + -5x = 5(6 + x) + x
111 + -5x = (6 * 5 + x * 5) + x
111 + -5x = (30 + 5x) + x

Combine like terms: 5x + x = 6x
111 + -5x = 30 + 6x

Solving
111 + -5x = 30 + 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.
111 + -5x + -6x = 30 + 6x + -6x

Combine like terms: -5x + -6x = -11x
111 + -11x = 30 + 6x + -6x

Combine like terms: 6x + -6x = 0
111 + -11x = 30 + 0
111 + -11x = 30

Add '-111' to each side of the equation.
111 + -111 + -11x = 30 + -111

Combine like terms: 111 + -111 = 0
0 + -11x = 30 + -111
-11x = 30 + -111

Combine like terms: 30 + -111 = -81
-11x = -81

Divide each side by '-11'.
x = 7.363636364

Simplifying
x = 7.363636364

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