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

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


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

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

Combine like terms: 12 + -4 = 8
8 + -6 + 12x = 4(2x + -3)

Combine like terms: 8 + -6 = 2
2 + 12x = 4(2x + -3)

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

Solving
2 + 12x = -12 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
2 + 12x + -8x = -12 + 8x + -8x

Combine like terms: 12x + -8x = 4x
2 + 4x = -12 + 8x + -8x

Combine like terms: 8x + -8x = 0
2 + 4x = -12 + 0
2 + 4x = -12

Add '-2' to each side of the equation.
2 + -2 + 4x = -12 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = -12 + -2
4x = -12 + -2

Combine like terms: -12 + -2 = -14
4x = -14

Divide each side by '4'.
x = -3.5

Simplifying
x = -3.5

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