0.15x+0.8(x-1)=0.01(2x-2)

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Solution for 0.15x+0.8(x-1)=0.01(2x-2) equation:


Simplifying
0.15x + 0.8(x + -1) = 0.01(2x + -2)

Reorder the terms:
0.15x + 0.8(-1 + x) = 0.01(2x + -2)
0.15x + (-1 * 0.8 + x * 0.8) = 0.01(2x + -2)
0.15x + (-0.8 + 0.8x) = 0.01(2x + -2)

Reorder the terms:
-0.8 + 0.15x + 0.8x = 0.01(2x + -2)

Combine like terms: 0.15x + 0.8x = 0.95x
-0.8 + 0.95x = 0.01(2x + -2)

Reorder the terms:
-0.8 + 0.95x = 0.01(-2 + 2x)
-0.8 + 0.95x = (-2 * 0.01 + 2x * 0.01)
-0.8 + 0.95x = (-0.02 + 0.02x)

Solving
-0.8 + 0.95x = -0.02 + 0.02x

Solving for variable 'x'.

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

Add '-0.02x' to each side of the equation.
-0.8 + 0.95x + -0.02x = -0.02 + 0.02x + -0.02x

Combine like terms: 0.95x + -0.02x = 0.93x
-0.8 + 0.93x = -0.02 + 0.02x + -0.02x

Combine like terms: 0.02x + -0.02x = 0.00
-0.8 + 0.93x = -0.02 + 0.00
-0.8 + 0.93x = -0.02

Add '0.8' to each side of the equation.
-0.8 + 0.8 + 0.93x = -0.02 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + 0.93x = -0.02 + 0.8
0.93x = -0.02 + 0.8

Combine like terms: -0.02 + 0.8 = 0.78
0.93x = 0.78

Divide each side by '0.93'.
x = 0.8387096774

Simplifying
x = 0.8387096774

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