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

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


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

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

Combine like terms: 16 + -10 = 6
6 + -5x = 3x + -10

Reorder the terms:
6 + -5x = -10 + 3x

Solving
6 + -5x = -10 + 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.
6 + -5x + -3x = -10 + 3x + -3x

Combine like terms: -5x + -3x = -8x
6 + -8x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -8x = -10 + 0
6 + -8x = -10

Add '-6' to each side of the equation.
6 + -6 + -8x = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -8x = -10 + -6
-8x = -10 + -6

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

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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