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

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


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

Reorder the terms:
5 + 3(1 + 4x) = 4x + -1(16 + -2x)
5 + (1 * 3 + 4x * 3) = 4x + -1(16 + -2x)
5 + (3 + 12x) = 4x + -1(16 + -2x)

Combine like terms: 5 + 3 = 8
8 + 12x = 4x + -1(16 + -2x)
8 + 12x = 4x + (16 * -1 + -2x * -1)
8 + 12x = 4x + (-16 + 2x)

Reorder the terms:
8 + 12x = -16 + 4x + 2x

Combine like terms: 4x + 2x = 6x
8 + 12x = -16 + 6x

Solving
8 + 12x = -16 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
8 + 12x + -6x = -16 + 6x + -6x

Combine like terms: 12x + -6x = 6x
8 + 6x = -16 + 6x + -6x

Combine like terms: 6x + -6x = 0
8 + 6x = -16 + 0
8 + 6x = -16

Add '-8' to each side of the equation.
8 + -8 + 6x = -16 + -8

Combine like terms: 8 + -8 = 0
0 + 6x = -16 + -8
6x = -16 + -8

Combine like terms: -16 + -8 = -24
6x = -24

Divide each side by '6'.
x = -4

Simplifying
x = -4

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