4(x-2)+2=6x-2

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Solution for 4(x-2)+2=6x-2 equation:


Simplifying
4(x + -2) + 2 = 6x + -2

Reorder the terms:
4(-2 + x) + 2 = 6x + -2
(-2 * 4 + x * 4) + 2 = 6x + -2
(-8 + 4x) + 2 = 6x + -2

Reorder the terms:
-8 + 2 + 4x = 6x + -2

Combine like terms: -8 + 2 = -6
-6 + 4x = 6x + -2

Reorder the terms:
-6 + 4x = -2 + 6x

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

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

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

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

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

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

Divide each side by '-2'.
x = -2

Simplifying
x = -2

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