5-16(-x+7)=1+3(2-4x)

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Solution for 5-16(-x+7)=1+3(2-4x) equation:


Simplifying
5 + -16(-1x + 7) = 1 + 3(2 + -4x)

Reorder the terms:
5 + -16(7 + -1x) = 1 + 3(2 + -4x)
5 + (7 * -16 + -1x * -16) = 1 + 3(2 + -4x)
5 + (-112 + 16x) = 1 + 3(2 + -4x)

Combine like terms: 5 + -112 = -107
-107 + 16x = 1 + 3(2 + -4x)
-107 + 16x = 1 + (2 * 3 + -4x * 3)
-107 + 16x = 1 + (6 + -12x)

Combine like terms: 1 + 6 = 7
-107 + 16x = 7 + -12x

Solving
-107 + 16x = 7 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-107 + 16x + 12x = 7 + -12x + 12x

Combine like terms: 16x + 12x = 28x
-107 + 28x = 7 + -12x + 12x

Combine like terms: -12x + 12x = 0
-107 + 28x = 7 + 0
-107 + 28x = 7

Add '107' to each side of the equation.
-107 + 107 + 28x = 7 + 107

Combine like terms: -107 + 107 = 0
0 + 28x = 7 + 107
28x = 7 + 107

Combine like terms: 7 + 107 = 114
28x = 114

Divide each side by '28'.
x = 4.071428571

Simplifying
x = 4.071428571

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