2(x-1)=4(6-2x)+3x-4

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Solution for 2(x-1)=4(6-2x)+3x-4 equation:


Simplifying
2(x + -1) = 4(6 + -2x) + 3x + -4

Reorder the terms:
2(-1 + x) = 4(6 + -2x) + 3x + -4
(-1 * 2 + x * 2) = 4(6 + -2x) + 3x + -4
(-2 + 2x) = 4(6 + -2x) + 3x + -4
-2 + 2x = (6 * 4 + -2x * 4) + 3x + -4
-2 + 2x = (24 + -8x) + 3x + -4

Reorder the terms:
-2 + 2x = 24 + -4 + -8x + 3x

Combine like terms: 24 + -4 = 20
-2 + 2x = 20 + -8x + 3x

Combine like terms: -8x + 3x = -5x
-2 + 2x = 20 + -5x

Solving
-2 + 2x = 20 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-2 + 2x + 5x = 20 + -5x + 5x

Combine like terms: 2x + 5x = 7x
-2 + 7x = 20 + -5x + 5x

Combine like terms: -5x + 5x = 0
-2 + 7x = 20 + 0
-2 + 7x = 20

Add '2' to each side of the equation.
-2 + 2 + 7x = 20 + 2

Combine like terms: -2 + 2 = 0
0 + 7x = 20 + 2
7x = 20 + 2

Combine like terms: 20 + 2 = 22
7x = 22

Divide each side by '7'.
x = 3.142857143

Simplifying
x = 3.142857143

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