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

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


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

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

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

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

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

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

Solving for variable 'x'.

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

Add '(-5x)' to each side of the equation.
-4 + (2x) + (-5x) = -2 + (5x) + (-5x)

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

Combine like terms: (5x) + (-5x) = 0
-4 + -3x = -2 + 0
-4 + -3x = -2

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

Combine like terms: -4 + 4 = 0
0 + -3x = -2 + 4
-3x = -2 + 4

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

Divide each side by '-3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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