80-(4x+14)=4(4x+3)+x

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Solution for 80-(4x+14)=4(4x+3)+x equation:


Simplifying
80 + -1(4x + 14) = 4(4x + 3) + x

Reorder the terms:
80 + -1(14 + 4x) = 4(4x + 3) + x
80 + (14 * -1 + 4x * -1) = 4(4x + 3) + x
80 + (-14 + -4x) = 4(4x + 3) + x

Combine like terms: 80 + -14 = 66
66 + -4x = 4(4x + 3) + x

Reorder the terms:
66 + -4x = 4(3 + 4x) + x
66 + -4x = (3 * 4 + 4x * 4) + x
66 + -4x = (12 + 16x) + x

Combine like terms: 16x + x = 17x
66 + -4x = 12 + 17x

Solving
66 + -4x = 12 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
66 + -4x + -17x = 12 + 17x + -17x

Combine like terms: -4x + -17x = -21x
66 + -21x = 12 + 17x + -17x

Combine like terms: 17x + -17x = 0
66 + -21x = 12 + 0
66 + -21x = 12

Add '-66' to each side of the equation.
66 + -66 + -21x = 12 + -66

Combine like terms: 66 + -66 = 0
0 + -21x = 12 + -66
-21x = 12 + -66

Combine like terms: 12 + -66 = -54
-21x = -54

Divide each side by '-21'.
x = 2.571428571

Simplifying
x = 2.571428571

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