16-(10-4)+(5x-3x+2)=3x-8

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Solution for 16-(10-4)+(5x-3x+2)=3x-8 equation:


Simplifying
16 + -1(10 + -4) + (5x + -3x + 2) = 3x + -8

Combine like terms: 10 + -4 = 6
16 + -1(6) + (5x + -3x + 2) = 3x + -8

Multiply -1 * 6
16 + -6 + (5x + -3x + 2) = 3x + -8

Reorder the terms:
16 + -6 + (2 + 5x + -3x) = 3x + -8

Combine like terms: 5x + -3x = 2x
16 + -6 + (2 + 2x) = 3x + -8

Remove parenthesis around (2 + 2x)
16 + -6 + 2 + 2x = 3x + -8

Combine like terms: 16 + -6 = 10
10 + 2 + 2x = 3x + -8

Combine like terms: 10 + 2 = 12
12 + 2x = 3x + -8

Reorder the terms:
12 + 2x = -8 + 3x

Solving
12 + 2x = -8 + 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.
12 + 2x + -3x = -8 + 3x + -3x

Combine like terms: 2x + -3x = -1x
12 + -1x = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + -1x = -8 + 0
12 + -1x = -8

Add '-12' to each side of the equation.
12 + -12 + -1x = -8 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = -8 + -12
-1x = -8 + -12

Combine like terms: -8 + -12 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20

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