3x-2=4(x-1)+2x

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Solution for 3x-2=4(x-1)+2x equation:


Simplifying
3x + -2 = 4(x + -1) + 2x

Reorder the terms:
-2 + 3x = 4(x + -1) + 2x

Reorder the terms:
-2 + 3x = 4(-1 + x) + 2x
-2 + 3x = (-1 * 4 + x * 4) + 2x
-2 + 3x = (-4 + 4x) + 2x

Combine like terms: 4x + 2x = 6x
-2 + 3x = -4 + 6x

Solving
-2 + 3x = -4 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-2 + 3x + -6x = -4 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-2 + -3x = -4 + 6x + -6x

Combine like terms: 6x + -6x = 0
-2 + -3x = -4 + 0
-2 + -3x = -4

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

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

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

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

Simplifying
x = 0.6666666667

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