0.8x-0.1(14-2x)=-0.2(x-5)

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Solution for 0.8x-0.1(14-2x)=-0.2(x-5) equation: 


Simplifying
0.8x + -0.1(14 + -2x) = -0.2(x + -5)
0.8x + (14 * -0.1 + -2x * -0.1) = -0.2(x + -5)
0.8x + (-1.4 + 0.2x) = -0.2(x + -5)

Reorder the terms:
-1.4 + 0.8x + 0.2x = -0.2(x + -5)

Combine like terms: 0.8x + 0.2x = 1x
-1.4 + 1x = -0.2(x + -5)

Reorder the terms:
-1.4 + 1x = -0.2(-5 + x)
-1.4 + 1x = (-5 * -0.2 + x * -0.2)
-1.4 + 1x = (1 + -0.2x)

Solving
-1.4 + 1x = 1 + -0.2x

Solving for variable 'x'.

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

Add '0.2x' to each side of the equation.
-1.4 + 1x + 0.2x = 1 + -0.2x + 0.2x

Combine like terms: 1x + 0.2x = 1.2x
-1.4 + 1.2x = 1 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
-1.4 + 1.2x = 1 + 0.0
-1.4 + 1.2x = 1

Add '1.4' to each side of the equation.
-1.4 + 1.4 + 1.2x = 1 + 1.4

Combine like terms: -1.4 + 1.4 = 0.0
0.0 + 1.2x = 1 + 1.4
1.2x = 1 + 1.4

Combine like terms: 1 + 1.4 = 2.4
1.2x = 2.4

Divide each side by '1.2'.
x = 2

Simplifying
x = 2

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