3[4-2(x-1)]=3x+3

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


Simplifying
3[4 + -2(x + -1)] = 3x + 3

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

Combine like terms: 4 + 2 = 6
3[6 + -2x] = 3x + 3
[6 * 3 + -2x * 3] = 3x + 3
[18 + -6x] = 3x + 3

Reorder the terms:
18 + -6x = 3 + 3x

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

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

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

Add '-18' to each side of the equation.
18 + -18 + -9x = 3 + -18

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

Combine like terms: 3 + -18 = -15
-9x = -15

Divide each side by '-9'.
x = 1.666666667

Simplifying
x = 1.666666667

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