55=2(1-3x)-(x-4)

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Solution for 55=2(1-3x)-(x-4) equation:


Simplifying
55 = 2(1 + -3x) + -1(x + -4)
55 = (1 * 2 + -3x * 2) + -1(x + -4)
55 = (2 + -6x) + -1(x + -4)

Reorder the terms:
55 = 2 + -6x + -1(-4 + x)
55 = 2 + -6x + (-4 * -1 + x * -1)
55 = 2 + -6x + (4 + -1x)

Reorder the terms:
55 = 2 + 4 + -6x + -1x

Combine like terms: 2 + 4 = 6
55 = 6 + -6x + -1x

Combine like terms: -6x + -1x = -7x
55 = 6 + -7x

Solving
55 = 6 + -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.
55 + 7x = 6 + -7x + 7x

Combine like terms: -7x + 7x = 0
55 + 7x = 6 + 0
55 + 7x = 6

Add '-55' to each side of the equation.
55 + -55 + 7x = 6 + -55

Combine like terms: 55 + -55 = 0
0 + 7x = 6 + -55
7x = 6 + -55

Combine like terms: 6 + -55 = -49
7x = -49

Divide each side by '7'.
x = -7

Simplifying
x = -7

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