2x+2(x-1)=6x+3

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Solution for 2x+2(x-1)=6x+3 equation:


Simplifying
2x + 2(x + -1) = 6x + 3

Reorder the terms:
2x + 2(-1 + x) = 6x + 3
2x + (-1 * 2 + x * 2) = 6x + 3
2x + (-2 + 2x) = 6x + 3

Reorder the terms:
-2 + 2x + 2x = 6x + 3

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

Reorder the terms:
-2 + 4x = 3 + 6x

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

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

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

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

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

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

Divide each side by '-2'.
x = -2.5

Simplifying
x = -2.5

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