85-(6x+9)=6(x+4)+x

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Solution for 85-(6x+9)=6(x+4)+x equation:


Simplifying
85 + -1(6x + 9) = 6(x + 4) + x

Reorder the terms:
85 + -1(9 + 6x) = 6(x + 4) + x
85 + (9 * -1 + 6x * -1) = 6(x + 4) + x
85 + (-9 + -6x) = 6(x + 4) + x

Combine like terms: 85 + -9 = 76
76 + -6x = 6(x + 4) + x

Reorder the terms:
76 + -6x = 6(4 + x) + x
76 + -6x = (4 * 6 + x * 6) + x
76 + -6x = (24 + 6x) + x

Combine like terms: 6x + x = 7x
76 + -6x = 24 + 7x

Solving
76 + -6x = 24 + 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.
76 + -6x + -7x = 24 + 7x + -7x

Combine like terms: -6x + -7x = -13x
76 + -13x = 24 + 7x + -7x

Combine like terms: 7x + -7x = 0
76 + -13x = 24 + 0
76 + -13x = 24

Add '-76' to each side of the equation.
76 + -76 + -13x = 24 + -76

Combine like terms: 76 + -76 = 0
0 + -13x = 24 + -76
-13x = 24 + -76

Combine like terms: 24 + -76 = -52
-13x = -52

Divide each side by '-13'.
x = 4

Simplifying
x = 4

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