4(x-4)=-5(x+2)+45

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Solution for 4(x-4)=-5(x+2)+45 equation: 


Simplifying
4(x + -4) = -5(x + 2) + 45

Reorder the terms:
4(-4 + x) = -5(x + 2) + 45
(-4 * 4 + x * 4) = -5(x + 2) + 45
(-16 + 4x) = -5(x + 2) + 45

Reorder the terms:
-16 + 4x = -5(2 + x) + 45
-16 + 4x = (2 * -5 + x * -5) + 45
-16 + 4x = (-10 + -5x) + 45

Reorder the terms:
-16 + 4x = -10 + 45 + -5x

Combine like terms: -10 + 45 = 35
-16 + 4x = 35 + -5x

Solving
-16 + 4x = 35 + -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.
-16 + 4x + 5x = 35 + -5x + 5x

Combine like terms: 4x + 5x = 9x
-16 + 9x = 35 + -5x + 5x

Combine like terms: -5x + 5x = 0
-16 + 9x = 35 + 0
-16 + 9x = 35

Add '16' to each side of the equation.
-16 + 16 + 9x = 35 + 16

Combine like terms: -16 + 16 = 0
0 + 9x = 35 + 16
9x = 35 + 16

Combine like terms: 35 + 16 = 51
9x = 51

Divide each side by '9'.
x = 5.666666667

Simplifying
x = 5.666666667

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