11(x+1)-4(x-1)=2(x-3)+4(x-3)

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


Simplifying
11(x + 1) + -4(x + -1) = 2(x + -3) + 4(x + -3)

Reorder the terms:
11(1 + x) + -4(x + -1) = 2(x + -3) + 4(x + -3)
(1 * 11 + x * 11) + -4(x + -1) = 2(x + -3) + 4(x + -3)
(11 + 11x) + -4(x + -1) = 2(x + -3) + 4(x + -3)

Reorder the terms:
11 + 11x + -4(-1 + x) = 2(x + -3) + 4(x + -3)
11 + 11x + (-1 * -4 + x * -4) = 2(x + -3) + 4(x + -3)
11 + 11x + (4 + -4x) = 2(x + -3) + 4(x + -3)

Reorder the terms:
11 + 4 + 11x + -4x = 2(x + -3) + 4(x + -3)

Combine like terms: 11 + 4 = 15
15 + 11x + -4x = 2(x + -3) + 4(x + -3)

Combine like terms: 11x + -4x = 7x
15 + 7x = 2(x + -3) + 4(x + -3)

Reorder the terms:
15 + 7x = 2(-3 + x) + 4(x + -3)
15 + 7x = (-3 * 2 + x * 2) + 4(x + -3)
15 + 7x = (-6 + 2x) + 4(x + -3)

Reorder the terms:
15 + 7x = -6 + 2x + 4(-3 + x)
15 + 7x = -6 + 2x + (-3 * 4 + x * 4)
15 + 7x = -6 + 2x + (-12 + 4x)

Reorder the terms:
15 + 7x = -6 + -12 + 2x + 4x

Combine like terms: -6 + -12 = -18
15 + 7x = -18 + 2x + 4x

Combine like terms: 2x + 4x = 6x
15 + 7x = -18 + 6x

Solving
15 + 7x = -18 + 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.
15 + 7x + -6x = -18 + 6x + -6x

Combine like terms: 7x + -6x = 1x
15 + 1x = -18 + 6x + -6x

Combine like terms: 6x + -6x = 0
15 + 1x = -18 + 0
15 + 1x = -18

Add '-15' to each side of the equation.
15 + -15 + 1x = -18 + -15

Combine like terms: 15 + -15 = 0
0 + 1x = -18 + -15
1x = -18 + -15

Combine like terms: -18 + -15 = -33
1x = -33

Divide each side by '1'.
x = -33

Simplifying
x = -33

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