14-0.2(x-10)=0.4(25+x)

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Solution for 14-0.2(x-10)=0.4(25+x) equation: 


Simplifying
14 + -0.2(x + -10) = 0.4(25 + x)

Reorder the terms:
14 + -0.2(-10 + x) = 0.4(25 + x)
14 + (-10 * -0.2 + x * -0.2) = 0.4(25 + x)
14 + (2 + -0.2x) = 0.4(25 + x)

Combine like terms: 14 + 2 = 16
16 + -0.2x = 0.4(25 + x)
16 + -0.2x = (25 * 0.4 + x * 0.4)
16 + -0.2x = (10 + 0.4x)

Solving
16 + -0.2x = 10 + 0.4x

Solving for variable 'x'.

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

Add '-0.4x' to each side of the equation.
16 + -0.2x + -0.4x = 10 + 0.4x + -0.4x

Combine like terms: -0.2x + -0.4x = -0.6x
16 + -0.6x = 10 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
16 + -0.6x = 10 + 0.0
16 + -0.6x = 10

Add '-16' to each side of the equation.
16 + -16 + -0.6x = 10 + -16

Combine like terms: 16 + -16 = 0
0 + -0.6x = 10 + -16
-0.6x = 10 + -16

Combine like terms: 10 + -16 = -6
-0.6x = -6

Divide each side by '-0.6'.
x = 10

Simplifying
x = 10

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