7-(-3(11-5x))=2x-1-(1-4x)

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Solution for 7-(-3(11-5x))=2x-1-(1-4x) equation:


Simplifying
7 + -1(-3(11 + -5x)) = 2x + -1 + -1(1 + -4x)
7 + -1((11 * -3 + -5x * -3)) = 2x + -1 + -1(1 + -4x)
7 + -1((-33 + 15x)) = 2x + -1 + -1(1 + -4x)
7 + (-33 * -1 + 15x * -1) = 2x + -1 + -1(1 + -4x)
7 + (33 + -15x) = 2x + -1 + -1(1 + -4x)

Combine like terms: 7 + 33 = 40
40 + -15x = 2x + -1 + -1(1 + -4x)
40 + -15x = 2x + -1 + (1 * -1 + -4x * -1)
40 + -15x = 2x + -1 + (-1 + 4x)

Reorder the terms:
40 + -15x = -1 + -1 + 2x + 4x

Combine like terms: -1 + -1 = -2
40 + -15x = -2 + 2x + 4x

Combine like terms: 2x + 4x = 6x
40 + -15x = -2 + 6x

Solving
40 + -15x = -2 + 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.
40 + -15x + -6x = -2 + 6x + -6x

Combine like terms: -15x + -6x = -21x
40 + -21x = -2 + 6x + -6x

Combine like terms: 6x + -6x = 0
40 + -21x = -2 + 0
40 + -21x = -2

Add '-40' to each side of the equation.
40 + -40 + -21x = -2 + -40

Combine like terms: 40 + -40 = 0
0 + -21x = -2 + -40
-21x = -2 + -40

Combine like terms: -2 + -40 = -42
-21x = -42

Divide each side by '-21'.
x = 2

Simplifying
x = 2

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