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

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


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

Reorder the terms:
4x + 5(4 + x) = 4(x + -2) + -2
4x + (4 * 5 + x * 5) = 4(x + -2) + -2
4x + (20 + 5x) = 4(x + -2) + -2

Reorder the terms:
20 + 4x + 5x = 4(x + -2) + -2

Combine like terms: 4x + 5x = 9x
20 + 9x = 4(x + -2) + -2

Reorder the terms:
20 + 9x = 4(-2 + x) + -2
20 + 9x = (-2 * 4 + x * 4) + -2
20 + 9x = (-8 + 4x) + -2

Reorder the terms:
20 + 9x = -8 + -2 + 4x

Combine like terms: -8 + -2 = -10
20 + 9x = -10 + 4x

Solving
20 + 9x = -10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
20 + 9x + -4x = -10 + 4x + -4x

Combine like terms: 9x + -4x = 5x
20 + 5x = -10 + 4x + -4x

Combine like terms: 4x + -4x = 0
20 + 5x = -10 + 0
20 + 5x = -10

Add '-20' to each side of the equation.
20 + -20 + 5x = -10 + -20

Combine like terms: 20 + -20 = 0
0 + 5x = -10 + -20
5x = -10 + -20

Combine like terms: -10 + -20 = -30
5x = -30

Divide each side by '5'.
x = -6

Simplifying
x = -6

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