0.1(x+40)-0.02(x-20)=2

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Solution for 0.1(x+40)-0.02(x-20)=2 equation: 


Simplifying
0.1(x + 40) + -0.02(x + -20) = 2

Reorder the terms:
0.1(40 + x) + -0.02(x + -20) = 2
(40 * 0.1 + x * 0.1) + -0.02(x + -20) = 2
(4 + 0.1x) + -0.02(x + -20) = 2

Reorder the terms:
4 + 0.1x + -0.02(-20 + x) = 2
4 + 0.1x + (-20 * -0.02 + x * -0.02) = 2
4 + 0.1x + (0.4 + -0.02x) = 2

Reorder the terms:
4 + 0.4 + 0.1x + -0.02x = 2

Combine like terms: 4 + 0.4 = 4.4
4.4 + 0.1x + -0.02x = 2

Combine like terms: 0.1x + -0.02x = 0.08x
4.4 + 0.08x = 2

Solving
4.4 + 0.08x = 2

Solving for variable 'x'.

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

Add '-4.4' to each side of the equation.
4.4 + -4.4 + 0.08x = 2 + -4.4

Combine like terms: 4.4 + -4.4 = 0.0
0.0 + 0.08x = 2 + -4.4
0.08x = 2 + -4.4

Combine like terms: 2 + -4.4 = -2.4
0.08x = -2.4

Divide each side by '0.08'.
x = -30

Simplifying
x = -30

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