3x+16=2x-5(x-8)+26

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Solution for 3x+16=2x-5(x-8)+26 equation:


Simplifying
3x + 16 = 2x + -5(x + -8) + 26

Reorder the terms:
16 + 3x = 2x + -5(x + -8) + 26

Reorder the terms:
16 + 3x = 2x + -5(-8 + x) + 26
16 + 3x = 2x + (-8 * -5 + x * -5) + 26
16 + 3x = 2x + (40 + -5x) + 26

Reorder the terms:
16 + 3x = 40 + 26 + 2x + -5x

Combine like terms: 40 + 26 = 66
16 + 3x = 66 + 2x + -5x

Combine like terms: 2x + -5x = -3x
16 + 3x = 66 + -3x

Solving
16 + 3x = 66 + -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.
16 + 3x + 3x = 66 + -3x + 3x

Combine like terms: 3x + 3x = 6x
16 + 6x = 66 + -3x + 3x

Combine like terms: -3x + 3x = 0
16 + 6x = 66 + 0
16 + 6x = 66

Add '-16' to each side of the equation.
16 + -16 + 6x = 66 + -16

Combine like terms: 16 + -16 = 0
0 + 6x = 66 + -16
6x = 66 + -16

Combine like terms: 66 + -16 = 50
6x = 50

Divide each side by '6'.
x = 8.333333333

Simplifying
x = 8.333333333

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