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

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


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

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

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

Combine like terms: -6 + 6 = 0
0 + 3x = 4(2 + -1x)
3x = 4(2 + -1x)
3x = (2 * 4 + -1x * 4)
3x = (8 + -4x)

Solving
3x = 8 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
3x + 4x = 8 + -4x + 4x

Combine like terms: 3x + 4x = 7x
7x = 8 + -4x + 4x

Combine like terms: -4x + 4x = 0
7x = 8 + 0
7x = 8

Divide each side by '7'.
x = 1.142857143

Simplifying
x = 1.142857143

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