4(4+5)=x-2(x-2+x+4)

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Solution for 4(4+5)=x-2(x-2+x+4) equation: 


Simplifying
4(4 + 5) = x + -2(x + -2 + x + 4)

Combine like terms: 4 + 5 = 9
4(9) = x + -2(x + -2 + x + 4)

Multiply 4 * 9
36 = x + -2(x + -2 + x + 4)

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

Combine like terms: -2 + 4 = 2
36 = x + -2(2 + x + x)

Combine like terms: x + x = 2x
36 = x + -2(2 + 2x)
36 = x + (2 * -2 + 2x * -2)
36 = x + (-4 + -4x)

Reorder the terms:
36 = -4 + x + -4x

Combine like terms: x + -4x = -3x
36 = -4 + -3x

Solving
36 = -4 + -3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3x' to each side of the equation.
36 + 3x = -4 + -3x + 3x

Combine like terms: -3x + 3x = 0
36 + 3x = -4 + 0
36 + 3x = -4

Add '-36' to each side of the equation.
36 + -36 + 3x = -4 + -36

Combine like terms: 36 + -36 = 0
0 + 3x = -4 + -36
3x = -4 + -36

Combine like terms: -4 + -36 = -40
3x = -40

Divide each side by '3'.
x = -13.33333333

Simplifying
x = -13.33333333

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