3(x-3)-16=2(x-8)+11

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Solution for 3(x-3)-16=2(x-8)+11 equation: 


Simplifying
3(x + -3) + -16 = 2(x + -8) + 11

Reorder the terms:
3(-3 + x) + -16 = 2(x + -8) + 11
(-3 * 3 + x * 3) + -16 = 2(x + -8) + 11
(-9 + 3x) + -16 = 2(x + -8) + 11

Reorder the terms:
-9 + -16 + 3x = 2(x + -8) + 11

Combine like terms: -9 + -16 = -25
-25 + 3x = 2(x + -8) + 11

Reorder the terms:
-25 + 3x = 2(-8 + x) + 11
-25 + 3x = (-8 * 2 + x * 2) + 11
-25 + 3x = (-16 + 2x) + 11

Reorder the terms:
-25 + 3x = -16 + 11 + 2x

Combine like terms: -16 + 11 = -5
-25 + 3x = -5 + 2x

Solving
-25 + 3x = -5 + 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.
-25 + 3x + -2x = -5 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-25 + 1x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
-25 + 1x = -5 + 0
-25 + 1x = -5

Add '25' to each side of the equation.
-25 + 25 + 1x = -5 + 25

Combine like terms: -25 + 25 = 0
0 + 1x = -5 + 25
1x = -5 + 25

Combine like terms: -5 + 25 = 20
1x = 20

Divide each side by '1'.
x = 20

Simplifying
x = 20

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