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

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


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

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

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

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

Solving
-2 + -3x = 2 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-2 + -3x + 4x = 2 + -4x + 4x

Combine like terms: -3x + 4x = 1x
-2 + 1x = 2 + -4x + 4x

Combine like terms: -4x + 4x = 0
-2 + 1x = 2 + 0
-2 + 1x = 2

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

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

Combine like terms: 2 + 2 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4

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