3(x-4)-2(3x-6)=2-(7x-1)

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Solution for 3(x-4)-2(3x-6)=2-(7x-1) equation:


Simplifying
3(x + -4) + -2(3x + -6) = 2 + -1(7x + -1)

Reorder the terms:
3(-4 + x) + -2(3x + -6) = 2 + -1(7x + -1)
(-4 * 3 + x * 3) + -2(3x + -6) = 2 + -1(7x + -1)
(-12 + 3x) + -2(3x + -6) = 2 + -1(7x + -1)

Reorder the terms:
-12 + 3x + -2(-6 + 3x) = 2 + -1(7x + -1)
-12 + 3x + (-6 * -2 + 3x * -2) = 2 + -1(7x + -1)
-12 + 3x + (12 + -6x) = 2 + -1(7x + -1)

Reorder the terms:
-12 + 12 + 3x + -6x = 2 + -1(7x + -1)

Combine like terms: -12 + 12 = 0
0 + 3x + -6x = 2 + -1(7x + -1)
3x + -6x = 2 + -1(7x + -1)

Combine like terms: 3x + -6x = -3x
-3x = 2 + -1(7x + -1)

Reorder the terms:
-3x = 2 + -1(-1 + 7x)
-3x = 2 + (-1 * -1 + 7x * -1)
-3x = 2 + (1 + -7x)

Combine like terms: 2 + 1 = 3
-3x = 3 + -7x

Solving
-3x = 3 + -7x

Solving for variable 'x'.

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

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

Combine like terms: -3x + 7x = 4x
4x = 3 + -7x + 7x

Combine like terms: -7x + 7x = 0
4x = 3 + 0
4x = 3

Divide each side by '4'.
x = 0.75

Simplifying
x = 0.75

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