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

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


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

Reorder the terms:
6 + -3(-4 + 2x) = 4 + 3(x + -1)
6 + (-4 * -3 + 2x * -3) = 4 + 3(x + -1)
6 + (12 + -6x) = 4 + 3(x + -1)

Combine like terms: 6 + 12 = 18
18 + -6x = 4 + 3(x + -1)

Reorder the terms:
18 + -6x = 4 + 3(-1 + x)
18 + -6x = 4 + (-1 * 3 + x * 3)
18 + -6x = 4 + (-3 + 3x)

Combine like terms: 4 + -3 = 1
18 + -6x = 1 + 3x

Solving
18 + -6x = 1 + 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.
18 + -6x + -3x = 1 + 3x + -3x

Combine like terms: -6x + -3x = -9x
18 + -9x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
18 + -9x = 1 + 0
18 + -9x = 1

Add '-18' to each side of the equation.
18 + -18 + -9x = 1 + -18

Combine like terms: 18 + -18 = 0
0 + -9x = 1 + -18
-9x = 1 + -18

Combine like terms: 1 + -18 = -17
-9x = -17

Divide each side by '-9'.
x = 1.888888889

Simplifying
x = 1.888888889

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