111-(4x+16)=4(x+8)+x

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Solution for 111-(4x+16)=4(x+8)+x equation: 


Simplifying
111 + -1(4x + 16) = 4(x + 8) + x

Reorder the terms:
111 + -1(16 + 4x) = 4(x + 8) + x
111 + (16 * -1 + 4x * -1) = 4(x + 8) + x
111 + (-16 + -4x) = 4(x + 8) + x

Combine like terms: 111 + -16 = 95
95 + -4x = 4(x + 8) + x

Reorder the terms:
95 + -4x = 4(8 + x) + x
95 + -4x = (8 * 4 + x * 4) + x
95 + -4x = (32 + 4x) + x

Combine like terms: 4x + x = 5x
95 + -4x = 32 + 5x

Solving
95 + -4x = 32 + 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.
95 + -4x + -5x = 32 + 5x + -5x

Combine like terms: -4x + -5x = -9x
95 + -9x = 32 + 5x + -5x

Combine like terms: 5x + -5x = 0
95 + -9x = 32 + 0
95 + -9x = 32

Add '-95' to each side of the equation.
95 + -95 + -9x = 32 + -95

Combine like terms: 95 + -95 = 0
0 + -9x = 32 + -95
-9x = 32 + -95

Combine like terms: 32 + -95 = -63
-9x = -63

Divide each side by '-9'.
x = 7

Simplifying
x = 7

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