0.15-0.1(x-1)=-0.02(2-x)

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Solution for 0.15-0.1(x-1)=-0.02(2-x) equation: 


Simplifying
0.15 + -0.1(x + -1) = -0.02(2 + -1x)

Reorder the terms:
0.15 + -0.1(-1 + x) = -0.02(2 + -1x)
0.15 + (-1 * -0.1 + x * -0.1) = -0.02(2 + -1x)
0.15 + (0.1 + -0.1x) = -0.02(2 + -1x)

Combine like terms: 0.15 + 0.1 = 0.25
0.25 + -0.1x = -0.02(2 + -1x)
0.25 + -0.1x = (2 * -0.02 + -1x * -0.02)
0.25 + -0.1x = (-0.04 + 0.02x)

Solving
0.25 + -0.1x = -0.04 + 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.
0.25 + -0.1x + -0.02x = -0.04 + 0.02x + -0.02x

Combine like terms: -0.1x + -0.02x = -0.12x
0.25 + -0.12x = -0.04 + 0.02x + -0.02x

Combine like terms: 0.02x + -0.02x = 0.00
0.25 + -0.12x = -0.04 + 0.00
0.25 + -0.12x = -0.04

Add '-0.25' to each side of the equation.
0.25 + -0.25 + -0.12x = -0.04 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + -0.12x = -0.04 + -0.25
-0.12x = -0.04 + -0.25

Combine like terms: -0.04 + -0.25 = -0.29
-0.12x = -0.29

Divide each side by '-0.12'.
x = 2.416666667

Simplifying
x = 2.416666667

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