2(3x-1)+3(4-x)=16

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Solution for 2(3x-1)+3(4-x)=16 equation: 


Simplifying
2(3x + -1) + 3(4 + -1x) = 16

Reorder the terms:
2(-1 + 3x) + 3(4 + -1x) = 16
(-1 * 2 + 3x * 2) + 3(4 + -1x) = 16
(-2 + 6x) + 3(4 + -1x) = 16
-2 + 6x + (4 * 3 + -1x * 3) = 16
-2 + 6x + (12 + -3x) = 16

Reorder the terms:
-2 + 12 + 6x + -3x = 16

Combine like terms: -2 + 12 = 10
10 + 6x + -3x = 16

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

Solving
10 + 3x = 16

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 3x = 16 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = 16 + -10
3x = 16 + -10

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

Divide each side by '3'.
x = 2

Simplifying
x = 2

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