.022*4.18*(x-100)+.150*4.184*x=-9.634

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Solution for .022*4.18*(x-100)+.150*4.184*x=-9.634 equation: 


Simplifying
0.022 * 4.18(x + -100) + 0.150 * 4.184x = -9.634

Reorder the terms:
0.022 * 4.18(-100 + x) + 0.150 * 4.184x = -9.634

Multiply 0.022 * 4.18
0.09196(-100 + x) + 0.150 * 4.184x = -9.634
(-100 * 0.09196 + x * 0.09196) + 0.150 * 4.184x = -9.634
(-9.196 + 0.09196x) + 0.150 * 4.184x = -9.634

Multiply 0.150 * 4.184
-9.196 + 0.09196x + 0.6276x = -9.634

Combine like terms: 0.09196x + 0.6276x = 0.71956x
-9.196 + 0.71956x = -9.634

Solving
-9.196 + 0.71956x = -9.634

Solving for variable 'x'.

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

Add '9.196' to each side of the equation.
-9.196 + 9.196 + 0.71956x = -9.634 + 9.196

Combine like terms: -9.196 + 9.196 = 0.000
0.000 + 0.71956x = -9.634 + 9.196
0.71956x = -9.634 + 9.196

Combine like terms: -9.634 + 9.196 = -0.438
0.71956x = -0.438

Divide each side by '0.71956'.
x = -0.6087053199

Simplifying
x = -0.6087053199

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