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

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


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

Reorder the terms:
-5(-4 + x) + 3(x + -2) = 16
(-4 * -5 + x * -5) + 3(x + -2) = 16
(20 + -5x) + 3(x + -2) = 16

Reorder the terms:
20 + -5x + 3(-2 + x) = 16
20 + -5x + (-2 * 3 + x * 3) = 16
20 + -5x + (-6 + 3x) = 16

Reorder the terms:
20 + -6 + -5x + 3x = 16

Combine like terms: 20 + -6 = 14
14 + -5x + 3x = 16

Combine like terms: -5x + 3x = -2x
14 + -2x = 16

Solving
14 + -2x = 16

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + -2x = 16 + -14

Combine like terms: 14 + -14 = 0
0 + -2x = 16 + -14
-2x = 16 + -14

Combine like terms: 16 + -14 = 2
-2x = 2

Divide each side by '-2'.
x = -1

Simplifying
x = -1

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