95-(6x+15)=6(x+9)+x

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Solution for 95-(6x+15)=6(x+9)+x equation:


Simplifying
95 + -1(6x + 15) = 6(x + 9) + x

Reorder the terms:
95 + -1(15 + 6x) = 6(x + 9) + x
95 + (15 * -1 + 6x * -1) = 6(x + 9) + x
95 + (-15 + -6x) = 6(x + 9) + x

Combine like terms: 95 + -15 = 80
80 + -6x = 6(x + 9) + x

Reorder the terms:
80 + -6x = 6(9 + x) + x
80 + -6x = (9 * 6 + x * 6) + x
80 + -6x = (54 + 6x) + x

Combine like terms: 6x + x = 7x
80 + -6x = 54 + 7x

Solving
80 + -6x = 54 + 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.
80 + -6x + -7x = 54 + 7x + -7x

Combine like terms: -6x + -7x = -13x
80 + -13x = 54 + 7x + -7x

Combine like terms: 7x + -7x = 0
80 + -13x = 54 + 0
80 + -13x = 54

Add '-80' to each side of the equation.
80 + -80 + -13x = 54 + -80

Combine like terms: 80 + -80 = 0
0 + -13x = 54 + -80
-13x = 54 + -80

Combine like terms: 54 + -80 = -26
-13x = -26

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

Simplifying
x = 2

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