(-3x+5)-(8-4x)=16

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Solution for (-3x+5)-(8-4x)=16 equation:


Simplifying
(-3x + 5) + -1(8 + -4x) = 16

Reorder the terms:
(5 + -3x) + -1(8 + -4x) = 16

Remove parenthesis around (5 + -3x)
5 + -3x + -1(8 + -4x) = 16
5 + -3x + (8 * -1 + -4x * -1) = 16
5 + -3x + (-8 + 4x) = 16

Reorder the terms:
5 + -8 + -3x + 4x = 16

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

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

Solving
-3 + 1x = 16

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 1x = 16 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = 16 + 3
1x = 16 + 3

Combine like terms: 16 + 3 = 19
1x = 19

Divide each side by '1'.
x = 19

Simplifying
x = 19

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