42-(4+7x-4(x+2))=-4(4x-6)-(5(x-1)-14x+11)

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Solution for 42-(4+7x-4(x+2))=-4(4x-6)-(5(x-1)-14x+11) equation:


Simplifying
42 + -1(4 + 7x + -4(x + 2)) = -4(4x + -6) + -1(5(x + -1) + -14x + 11)

Reorder the terms:
42 + -1(4 + 7x + -4(2 + x)) = -4(4x + -6) + -1(5(x + -1) + -14x + 11)
42 + -1(4 + 7x + (2 * -4 + x * -4)) = -4(4x + -6) + -1(5(x + -1) + -14x + 11)
42 + -1(4 + 7x + (-8 + -4x)) = -4(4x + -6) + -1(5(x + -1) + -14x + 11)

Reorder the terms:
42 + -1(4 + -8 + 7x + -4x) = -4(4x + -6) + -1(5(x + -1) + -14x + 11)

Combine like terms: 4 + -8 = -4
42 + -1(-4 + 7x + -4x) = -4(4x + -6) + -1(5(x + -1) + -14x + 11)

Combine like terms: 7x + -4x = 3x
42 + -1(-4 + 3x) = -4(4x + -6) + -1(5(x + -1) + -14x + 11)
42 + (-4 * -1 + 3x * -1) = -4(4x + -6) + -1(5(x + -1) + -14x + 11)
42 + (4 + -3x) = -4(4x + -6) + -1(5(x + -1) + -14x + 11)

Combine like terms: 42 + 4 = 46
46 + -3x = -4(4x + -6) + -1(5(x + -1) + -14x + 11)

Reorder the terms:
46 + -3x = -4(-6 + 4x) + -1(5(x + -1) + -14x + 11)
46 + -3x = (-6 * -4 + 4x * -4) + -1(5(x + -1) + -14x + 11)
46 + -3x = (24 + -16x) + -1(5(x + -1) + -14x + 11)

Reorder the terms:
46 + -3x = 24 + -16x + -1(5(-1 + x) + -14x + 11)
46 + -3x = 24 + -16x + -1((-1 * 5 + x * 5) + -14x + 11)
46 + -3x = 24 + -16x + -1((-5 + 5x) + -14x + 11)

Reorder the terms:
46 + -3x = 24 + -16x + -1(-5 + 11 + 5x + -14x)

Combine like terms: -5 + 11 = 6
46 + -3x = 24 + -16x + -1(6 + 5x + -14x)

Combine like terms: 5x + -14x = -9x
46 + -3x = 24 + -16x + -1(6 + -9x)
46 + -3x = 24 + -16x + (6 * -1 + -9x * -1)
46 + -3x = 24 + -16x + (-6 + 9x)

Reorder the terms:
46 + -3x = 24 + -6 + -16x + 9x

Combine like terms: 24 + -6 = 18
46 + -3x = 18 + -16x + 9x

Combine like terms: -16x + 9x = -7x
46 + -3x = 18 + -7x

Solving
46 + -3x = 18 + -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.
46 + -3x + 7x = 18 + -7x + 7x

Combine like terms: -3x + 7x = 4x
46 + 4x = 18 + -7x + 7x

Combine like terms: -7x + 7x = 0
46 + 4x = 18 + 0
46 + 4x = 18

Add '-46' to each side of the equation.
46 + -46 + 4x = 18 + -46

Combine like terms: 46 + -46 = 0
0 + 4x = 18 + -46
4x = 18 + -46

Combine like terms: 18 + -46 = -28
4x = -28

Divide each side by '4'.
x = -7

Simplifying
x = -7

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