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

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


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

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

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

Reorder the terms:
8 + -1x = 16 + x

Solving
8 + -1x = 16 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
8 + -1x + -1x = 16 + x + -1x

Combine like terms: -1x + -1x = -2x
8 + -2x = 16 + x + -1x

Combine like terms: x + -1x = 0
8 + -2x = 16 + 0
8 + -2x = 16

Add '-8' to each side of the equation.
8 + -8 + -2x = 16 + -8

Combine like terms: 8 + -8 = 0
0 + -2x = 16 + -8
-2x = 16 + -8

Combine like terms: 16 + -8 = 8
-2x = 8

Divide each side by '-2'.
x = -4

Simplifying
x = -4

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