0.2(x+20)-0.02(x-10)=11.4

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Solution for 0.2(x+20)-0.02(x-10)=11.4 equation: 


Simplifying
0.2(x + 20) + -0.02(x + -10) = 11.4

Reorder the terms:
0.2(20 + x) + -0.02(x + -10) = 11.4
(20 * 0.2 + x * 0.2) + -0.02(x + -10) = 11.4
(4 + 0.2x) + -0.02(x + -10) = 11.4

Reorder the terms:
4 + 0.2x + -0.02(-10 + x) = 11.4
4 + 0.2x + (-10 * -0.02 + x * -0.02) = 11.4
4 + 0.2x + (0.2 + -0.02x) = 11.4

Reorder the terms:
4 + 0.2 + 0.2x + -0.02x = 11.4

Combine like terms: 4 + 0.2 = 4.2
4.2 + 0.2x + -0.02x = 11.4

Combine like terms: 0.2x + -0.02x = 0.18x
4.2 + 0.18x = 11.4

Solving
4.2 + 0.18x = 11.4

Solving for variable 'x'.

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

Add '-4.2' to each side of the equation.
4.2 + -4.2 + 0.18x = 11.4 + -4.2

Combine like terms: 4.2 + -4.2 = 0.0
0.0 + 0.18x = 11.4 + -4.2
0.18x = 11.4 + -4.2

Combine like terms: 11.4 + -4.2 = 7.2
0.18x = 7.2

Divide each side by '0.18'.
x = 40

Simplifying
x = 40

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