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

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


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

Reorder the terms:
11(3 + x) + -4(x + -2) = 4(x + -2) + 2(x + -3)
(3 * 11 + x * 11) + -4(x + -2) = 4(x + -2) + 2(x + -3)
(33 + 11x) + -4(x + -2) = 4(x + -2) + 2(x + -3)

Reorder the terms:
33 + 11x + -4(-2 + x) = 4(x + -2) + 2(x + -3)
33 + 11x + (-2 * -4 + x * -4) = 4(x + -2) + 2(x + -3)
33 + 11x + (8 + -4x) = 4(x + -2) + 2(x + -3)

Reorder the terms:
33 + 8 + 11x + -4x = 4(x + -2) + 2(x + -3)

Combine like terms: 33 + 8 = 41
41 + 11x + -4x = 4(x + -2) + 2(x + -3)

Combine like terms: 11x + -4x = 7x
41 + 7x = 4(x + -2) + 2(x + -3)

Reorder the terms:
41 + 7x = 4(-2 + x) + 2(x + -3)
41 + 7x = (-2 * 4 + x * 4) + 2(x + -3)
41 + 7x = (-8 + 4x) + 2(x + -3)

Reorder the terms:
41 + 7x = -8 + 4x + 2(-3 + x)
41 + 7x = -8 + 4x + (-3 * 2 + x * 2)
41 + 7x = -8 + 4x + (-6 + 2x)

Reorder the terms:
41 + 7x = -8 + -6 + 4x + 2x

Combine like terms: -8 + -6 = -14
41 + 7x = -14 + 4x + 2x

Combine like terms: 4x + 2x = 6x
41 + 7x = -14 + 6x

Solving
41 + 7x = -14 + 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.
41 + 7x + -6x = -14 + 6x + -6x

Combine like terms: 7x + -6x = 1x
41 + 1x = -14 + 6x + -6x

Combine like terms: 6x + -6x = 0
41 + 1x = -14 + 0
41 + 1x = -14

Add '-41' to each side of the equation.
41 + -41 + 1x = -14 + -41

Combine like terms: 41 + -41 = 0
0 + 1x = -14 + -41
1x = -14 + -41

Combine like terms: -14 + -41 = -55
1x = -55

Divide each side by '1'.
x = -55

Simplifying
x = -55

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