4(x-2)=-5(x+4)+36

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Solution for 4(x-2)=-5(x+4)+36 equation:


Simplifying
4(x + -2) = -5(x + 4) + 36

Reorder the terms:
4(-2 + x) = -5(x + 4) + 36
(-2 * 4 + x * 4) = -5(x + 4) + 36
(-8 + 4x) = -5(x + 4) + 36

Reorder the terms:
-8 + 4x = -5(4 + x) + 36
-8 + 4x = (4 * -5 + x * -5) + 36
-8 + 4x = (-20 + -5x) + 36

Reorder the terms:
-8 + 4x = -20 + 36 + -5x

Combine like terms: -20 + 36 = 16
-8 + 4x = 16 + -5x

Solving
-8 + 4x = 16 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-8 + 4x + 5x = 16 + -5x + 5x

Combine like terms: 4x + 5x = 9x
-8 + 9x = 16 + -5x + 5x

Combine like terms: -5x + 5x = 0
-8 + 9x = 16 + 0
-8 + 9x = 16

Add '8' to each side of the equation.
-8 + 8 + 9x = 16 + 8

Combine like terms: -8 + 8 = 0
0 + 9x = 16 + 8
9x = 16 + 8

Combine like terms: 16 + 8 = 24
9x = 24

Divide each side by '9'.
x = 2.666666667

Simplifying
x = 2.666666667

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