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

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


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

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

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

Combine like terms: -6 + -1 = -7
-7 + 3x = -2(4 + -6x)
-7 + 3x = (4 * -2 + -6x * -2)
-7 + 3x = (-8 + 12x)

Solving
-7 + 3x = -8 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-7 + 3x + -12x = -8 + 12x + -12x

Combine like terms: 3x + -12x = -9x
-7 + -9x = -8 + 12x + -12x

Combine like terms: 12x + -12x = 0
-7 + -9x = -8 + 0
-7 + -9x = -8

Add '7' to each side of the equation.
-7 + 7 + -9x = -8 + 7

Combine like terms: -7 + 7 = 0
0 + -9x = -8 + 7
-9x = -8 + 7

Combine like terms: -8 + 7 = -1
-9x = -1

Divide each side by '-9'.
x = 0.1111111111

Simplifying
x = 0.1111111111

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