2x-4=3x-7x-2

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Solution for 2x-4=3x-7x-2 equation:


Simplifying
2x + -4 = 3x + -7x + -2

Reorder the terms:
-4 + 2x = 3x + -7x + -2

Reorder the terms:
-4 + 2x = -2 + 3x + -7x

Combine like terms: 3x + -7x = -4x
-4 + 2x = -2 + -4x

Solving
-4 + 2x = -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.
-4 + 2x + 4x = -2 + -4x + 4x

Combine like terms: 2x + 4x = 6x
-4 + 6x = -2 + -4x + 4x

Combine like terms: -4x + 4x = 0
-4 + 6x = -2 + 0
-4 + 6x = -2

Add '4' to each side of the equation.
-4 + 4 + 6x = -2 + 4

Combine like terms: -4 + 4 = 0
0 + 6x = -2 + 4
6x = -2 + 4

Combine like terms: -2 + 4 = 2
6x = 2

Divide each side by '6'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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