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

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


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

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

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

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

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

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

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

Solving
-2 + 4x = 3x

Solving for variable 'x'.

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

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

Combine like terms: 4x + -3x = 1x
-2 + 1x = 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + 1x = 0

Add '2' to each side of the equation.
-2 + 2 + 1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = 0 + 2
1x = 0 + 2

Combine like terms: 0 + 2 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2

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