2=5(x-2)+1-4x

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Solution for 2=5(x-2)+1-4x equation:


Simplifying
2 = 5(x + -2) + 1 + -4x

Reorder the terms:
2 = 5(-2 + x) + 1 + -4x
2 = (-2 * 5 + x * 5) + 1 + -4x
2 = (-10 + 5x) + 1 + -4x

Reorder the terms:
2 = -10 + 1 + 5x + -4x

Combine like terms: -10 + 1 = -9
2 = -9 + 5x + -4x

Combine like terms: 5x + -4x = 1x
2 = -9 + 1x

Solving
2 = -9 + 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.
2 + -1x = -9 + 1x + -1x

Combine like terms: 1x + -1x = 0
2 + -1x = -9 + 0
2 + -1x = -9

Add '-2' to each side of the equation.
2 + -2 + -1x = -9 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = -9 + -2
-1x = -9 + -2

Combine like terms: -9 + -2 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11

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