x+3(2-4x)+20=5-(3-x)

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Solution for x+3(2-4x)+20=5-(3-x) equation:


Simplifying
x + 3(2 + -4x) + 20 = 5 + -1(3 + -1x)
x + (2 * 3 + -4x * 3) + 20 = 5 + -1(3 + -1x)
x + (6 + -12x) + 20 = 5 + -1(3 + -1x)

Reorder the terms:
6 + 20 + x + -12x = 5 + -1(3 + -1x)

Combine like terms: 6 + 20 = 26
26 + x + -12x = 5 + -1(3 + -1x)

Combine like terms: x + -12x = -11x
26 + -11x = 5 + -1(3 + -1x)
26 + -11x = 5 + (3 * -1 + -1x * -1)
26 + -11x = 5 + (-3 + 1x)

Combine like terms: 5 + -3 = 2
26 + -11x = 2 + 1x

Solving
26 + -11x = 2 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
26 + -11x + -1x = 2 + 1x + -1x

Combine like terms: -11x + -1x = -12x
26 + -12x = 2 + 1x + -1x

Combine like terms: 1x + -1x = 0
26 + -12x = 2 + 0
26 + -12x = 2

Add '-26' to each side of the equation.
26 + -26 + -12x = 2 + -26

Combine like terms: 26 + -26 = 0
0 + -12x = 2 + -26
-12x = 2 + -26

Combine like terms: 2 + -26 = -24
-12x = -24

Divide each side by '-12'.
x = 2

Simplifying
x = 2

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