-45.14+((.02)*4.18*(x-100))+50.03+((.150)*(4.184)*(x-0))=0

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Solution for -45.14+((.02)*4.18*(x-100))+50.03+((.150)*(4.184)*(x-0))=0 equation:


Simplifying
-45.14 + ((0.02) * 4.18(x + -100)) + 50.03 + ((0.150)(4.184)(x + 0)) = 0

Reorder the terms:
-45.14 + (0.02 * 4.18(-100 + x)) + 50.03 + ((0.150)(4.184)(x + 0)) = 0

Multiply 0.02 * 4.18
-45.14 + (0.0836(-100 + x)) + 50.03 + ((0.150)(4.184)(x + 0)) = 0
-45.14 + ((-100 * 0.0836 + x * 0.0836)) + 50.03 + ((0.150)(4.184)(x + 0)) = 0
-45.14 + ((-8.36 + 0.0836x)) + 50.03 + ((0.150)(4.184)(x + 0)) = 0
-45.14 + (-8.36 + 0.0836x) + 50.03 + ((0.150)(4.184)(x + 0)) = 0

Remove parenthesis around (-8.36 + 0.0836x)
-45.14 + -8.36 + 0.0836x + 50.03 + ((0.150)(4.184)(x + 0)) = 0

Reorder the terms:
-45.14 + -8.36 + 0.0836x + 50.03 + (0.150 * 4.184(0 + x)) = 0
Remove the zero:
-45.14 + -8.36 + 0.0836x + 50.03 + (0.150 * 4.184(x)) = 0

Multiply 0.150 * 4.184
-45.14 + -8.36 + 0.0836x + 50.03 + (0.6276x) = 0

Reorder the terms:
-45.14 + -8.36 + 50.03 + 0.0836x + (0.6276x) = 0

Combine like terms: -45.14 + -8.36 = -53.5
-53.5 + 50.03 + 0.0836x + (0.6276x) = 0

Combine like terms: -53.5 + 50.03 = -3.47
-3.47 + 0.0836x + (0.6276x) = 0

Combine like terms: 0.0836x + (0.6276x) = 0.7112x
-3.47 + 0.7112x = 0

Solving
-3.47 + 0.7112x = 0

Solving for variable 'x'.

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

Add '3.47' to each side of the equation.
-3.47 + 3.47 + 0.7112x = 0 + 3.47

Combine like terms: -3.47 + 3.47 = 0.00
0.00 + 0.7112x = 0 + 3.47
0.7112x = 0 + 3.47

Combine like terms: 0 + 3.47 = 3.47
0.7112x = 3.47

Divide each side by '0.7112'.
x = 4.879077615

Simplifying
x = 4.879077615

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