12x-4(2x-1)=6(x+1)-3

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Solution for 12x-4(2x-1)=6(x+1)-3 equation:


Simplifying
12x + -4(2x + -1) = 6(x + 1) + -3

Reorder the terms:
12x + -4(-1 + 2x) = 6(x + 1) + -3
12x + (-1 * -4 + 2x * -4) = 6(x + 1) + -3
12x + (4 + -8x) = 6(x + 1) + -3

Reorder the terms:
4 + 12x + -8x = 6(x + 1) + -3

Combine like terms: 12x + -8x = 4x
4 + 4x = 6(x + 1) + -3

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

Reorder the terms:
4 + 4x = 6 + -3 + 6x

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

Solving
4 + 4x = 3 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
4 + 4x + -6x = 3 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
4 + -2x = 3 + 0
4 + -2x = 3

Add '-4' to each side of the equation.
4 + -4 + -2x = 3 + -4

Combine like terms: 4 + -4 = 0
0 + -2x = 3 + -4
-2x = 3 + -4

Combine like terms: 3 + -4 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

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