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

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


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

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

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

Combine like terms: 6x + -2x = 4x
-2 + 4x = 3(2 + -1x)
-2 + 4x = (2 * 3 + -1x * 3)
-2 + 4x = (6 + -3x)

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

Combine like terms: 4x + 3x = 7x
-2 + 7x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
-2 + 7x = 6 + 0
-2 + 7x = 6

Add '2' to each side of the equation.
-2 + 2 + 7x = 6 + 2

Combine like terms: -2 + 2 = 0
0 + 7x = 6 + 2
7x = 6 + 2

Combine like terms: 6 + 2 = 8
7x = 8

Divide each side by '7'.
x = 1.142857143

Simplifying
x = 1.142857143

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