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

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


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

Reorder the terms:
5(-2 + x) + 3x = 2x + -16
(-2 * 5 + x * 5) + 3x = 2x + -16
(-10 + 5x) + 3x = 2x + -16

Combine like terms: 5x + 3x = 8x
-10 + 8x = 2x + -16

Reorder the terms:
-10 + 8x = -16 + 2x

Solving
-10 + 8x = -16 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-10 + 8x + -2x = -16 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-10 + 6x = -16 + 0
-10 + 6x = -16

Add '10' to each side of the equation.
-10 + 10 + 6x = -16 + 10

Combine like terms: -10 + 10 = 0
0 + 6x = -16 + 10
6x = -16 + 10

Combine like terms: -16 + 10 = -6
6x = -6

Divide each side by '6'.
x = -1

Simplifying
x = -1

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