(12-3x)-(4-5x)=20

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Solution for (12-3x)-(4-5x)=20 equation:


Simplifying
(12 + -3x) + -1(4 + -5x) = 20

Remove parenthesis around (12 + -3x)
12 + -3x + -1(4 + -5x) = 20
12 + -3x + (4 * -1 + -5x * -1) = 20
12 + -3x + (-4 + 5x) = 20

Reorder the terms:
12 + -4 + -3x + 5x = 20

Combine like terms: 12 + -4 = 8
8 + -3x + 5x = 20

Combine like terms: -3x + 5x = 2x
8 + 2x = 20

Solving
8 + 2x = 20

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 2x = 20 + -8

Combine like terms: 8 + -8 = 0
0 + 2x = 20 + -8
2x = 20 + -8

Combine like terms: 20 + -8 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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