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

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


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

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

Reorder the terms:
-2 + -3 + 4x + 3x = 16

Combine like terms: -2 + -3 = -5
-5 + 4x + 3x = 16

Combine like terms: 4x + 3x = 7x
-5 + 7x = 16

Solving
-5 + 7x = 16

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 7x = 16 + 5

Combine like terms: -5 + 5 = 0
0 + 7x = 16 + 5
7x = 16 + 5

Combine like terms: 16 + 5 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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