11(x+4)-4(x-4)=4(x-1)+2(x-4)

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Solution for 11(x+4)-4(x-4)=4(x-1)+2(x-4) equation:


Simplifying
11(x + 4) + -4(x + -4) = 4(x + -1) + 2(x + -4)

Reorder the terms:
11(4 + x) + -4(x + -4) = 4(x + -1) + 2(x + -4)
(4 * 11 + x * 11) + -4(x + -4) = 4(x + -1) + 2(x + -4)
(44 + 11x) + -4(x + -4) = 4(x + -1) + 2(x + -4)

Reorder the terms:
44 + 11x + -4(-4 + x) = 4(x + -1) + 2(x + -4)
44 + 11x + (-4 * -4 + x * -4) = 4(x + -1) + 2(x + -4)
44 + 11x + (16 + -4x) = 4(x + -1) + 2(x + -4)

Reorder the terms:
44 + 16 + 11x + -4x = 4(x + -1) + 2(x + -4)

Combine like terms: 44 + 16 = 60
60 + 11x + -4x = 4(x + -1) + 2(x + -4)

Combine like terms: 11x + -4x = 7x
60 + 7x = 4(x + -1) + 2(x + -4)

Reorder the terms:
60 + 7x = 4(-1 + x) + 2(x + -4)
60 + 7x = (-1 * 4 + x * 4) + 2(x + -4)
60 + 7x = (-4 + 4x) + 2(x + -4)

Reorder the terms:
60 + 7x = -4 + 4x + 2(-4 + x)
60 + 7x = -4 + 4x + (-4 * 2 + x * 2)
60 + 7x = -4 + 4x + (-8 + 2x)

Reorder the terms:
60 + 7x = -4 + -8 + 4x + 2x

Combine like terms: -4 + -8 = -12
60 + 7x = -12 + 4x + 2x

Combine like terms: 4x + 2x = 6x
60 + 7x = -12 + 6x

Solving
60 + 7x = -12 + 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.
60 + 7x + -6x = -12 + 6x + -6x

Combine like terms: 7x + -6x = 1x
60 + 1x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
60 + 1x = -12 + 0
60 + 1x = -12

Add '-60' to each side of the equation.
60 + -60 + 1x = -12 + -60

Combine like terms: 60 + -60 = 0
0 + 1x = -12 + -60
1x = -12 + -60

Combine like terms: -12 + -60 = -72
1x = -72

Divide each side by '1'.
x = -72

Simplifying
x = -72

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