60-(4x-16)=4(x+2)+x

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Solution for 60-(4x-16)=4(x+2)+x equation:


Simplifying
60 + -1(4x + -16) = 4(x + 2) + x

Reorder the terms:
60 + -1(-16 + 4x) = 4(x + 2) + x
60 + (-16 * -1 + 4x * -1) = 4(x + 2) + x
60 + (16 + -4x) = 4(x + 2) + x

Combine like terms: 60 + 16 = 76
76 + -4x = 4(x + 2) + x

Reorder the terms:
76 + -4x = 4(2 + x) + x
76 + -4x = (2 * 4 + x * 4) + x
76 + -4x = (8 + 4x) + x

Combine like terms: 4x + x = 5x
76 + -4x = 8 + 5x

Solving
76 + -4x = 8 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
76 + -4x + -5x = 8 + 5x + -5x

Combine like terms: -4x + -5x = -9x
76 + -9x = 8 + 5x + -5x

Combine like terms: 5x + -5x = 0
76 + -9x = 8 + 0
76 + -9x = 8

Add '-76' to each side of the equation.
76 + -76 + -9x = 8 + -76

Combine like terms: 76 + -76 = 0
0 + -9x = 8 + -76
-9x = 8 + -76

Combine like terms: 8 + -76 = -68
-9x = -68

Divide each side by '-9'.
x = 7.555555556

Simplifying
x = 7.555555556

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