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

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


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

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

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

Reorder the terms:
8 + -1x = 16 + -3(4 + x)
8 + -1x = 16 + (4 * -3 + x * -3)
8 + -1x = 16 + (-12 + -3x)

Combine like terms: 16 + -12 = 4
8 + -1x = 4 + -3x

Solving
8 + -1x = 4 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
8 + -1x + 3x = 4 + -3x + 3x

Combine like terms: -1x + 3x = 2x
8 + 2x = 4 + -3x + 3x

Combine like terms: -3x + 3x = 0
8 + 2x = 4 + 0
8 + 2x = 4

Add '-8' to each side of the equation.
8 + -8 + 2x = 4 + -8

Combine like terms: 8 + -8 = 0
0 + 2x = 4 + -8
2x = 4 + -8

Combine like terms: 4 + -8 = -4
2x = -4

Divide each side by '2'.
x = -2

Simplifying
x = -2

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