(3x-1)+4(2-x)=12

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Solution for (3x-1)+4(2-x)=12 equation:


Simplifying
(3x + -1) + 4(2 + -1x) = 12

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

Remove parenthesis around (-1 + 3x)
-1 + 3x + 4(2 + -1x) = 12
-1 + 3x + (2 * 4 + -1x * 4) = 12
-1 + 3x + (8 + -4x) = 12

Reorder the terms:
-1 + 8 + 3x + -4x = 12

Combine like terms: -1 + 8 = 7
7 + 3x + -4x = 12

Combine like terms: 3x + -4x = -1x
7 + -1x = 12

Solving
7 + -1x = 12

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 12 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 12 + -7
-1x = 12 + -7

Combine like terms: 12 + -7 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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