2[0.1(x-4)]+4[0.1(x-5)]=200

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Solution for 2[0.1(x-4)]+4[0.1(x-5)]=200 equation: 


Simplifying
2[0.1(x + -4)] + 4[0.1(x + -5)] = 200

Reorder the terms:
2[0.1(-4 + x)] + 4[0.1(x + -5)] = 200
2[(-4 * 0.1 + x * 0.1)] + 4[0.1(x + -5)] = 200
2[(-0.4 + 0.1x)] + 4[0.1(x + -5)] = 200
[-0.4 * 2 + 0.1x * 2] + 4[0.1(x + -5)] = 200
[-0.8 + 0.2x] + 4[0.1(x + -5)] = 200

Reorder the terms:
-0.8 + 0.2x + 4[0.1(-5 + x)] = 200
-0.8 + 0.2x + 4[(-5 * 0.1 + x * 0.1)] = 200
-0.8 + 0.2x + 4[(-0.5 + 0.1x)] = 200
-0.8 + 0.2x + [-0.5 * 4 + 0.1x * 4] = 200
-0.8 + 0.2x + [-2 + 0.4x] = 200

Reorder the terms:
-0.8 + -2 + 0.2x + 0.4x = 200

Combine like terms: -0.8 + -2 = -2.8
-2.8 + 0.2x + 0.4x = 200

Combine like terms: 0.2x + 0.4x = 0.6x
-2.8 + 0.6x = 200

Solving
-2.8 + 0.6x = 200

Solving for variable 'x'.

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

Add '2.8' to each side of the equation.
-2.8 + 2.8 + 0.6x = 200 + 2.8

Combine like terms: -2.8 + 2.8 = 0.0
0.0 + 0.6x = 200 + 2.8
0.6x = 200 + 2.8

Combine like terms: 200 + 2.8 = 202.8
0.6x = 202.8

Divide each side by '0.6'.
x = 338

Simplifying
x = 338

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