0.8(x-5)+0.5=1-0.2(10-2x)-0.5

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Solution for 0.8(x-5)+0.5=1-0.2(10-2x)-0.5 equation: 


Simplifying
0.8(x + -5) + 0.5 = 1 + -0.2(10 + -2x) + -0.5

Reorder the terms:
0.8(-5 + x) + 0.5 = 1 + -0.2(10 + -2x) + -0.5
(-5 * 0.8 + x * 0.8) + 0.5 = 1 + -0.2(10 + -2x) + -0.5
(-4 + 0.8x) + 0.5 = 1 + -0.2(10 + -2x) + -0.5

Reorder the terms:
-4 + 0.5 + 0.8x = 1 + -0.2(10 + -2x) + -0.5

Combine like terms: -4 + 0.5 = -3.5
-3.5 + 0.8x = 1 + -0.2(10 + -2x) + -0.5
-3.5 + 0.8x = 1 + (10 * -0.2 + -2x * -0.2) + -0.5
-3.5 + 0.8x = 1 + (-2 + 0.4x) + -0.5

Reorder the terms:
-3.5 + 0.8x = 1 + -2 + -0.5 + 0.4x

Combine like terms: 1 + -2 = -1
-3.5 + 0.8x = -1 + -0.5 + 0.4x

Combine like terms: -1 + -0.5 = -1.5
-3.5 + 0.8x = -1.5 + 0.4x

Solving
-3.5 + 0.8x = -1.5 + 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.
-3.5 + 0.8x + -0.4x = -1.5 + 0.4x + -0.4x

Combine like terms: 0.8x + -0.4x = 0.4x
-3.5 + 0.4x = -1.5 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
-3.5 + 0.4x = -1.5 + 0.0
-3.5 + 0.4x = -1.5

Add '3.5' to each side of the equation.
-3.5 + 3.5 + 0.4x = -1.5 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + 0.4x = -1.5 + 3.5
0.4x = -1.5 + 3.5

Combine like terms: -1.5 + 3.5 = 2
0.4x = 2

Divide each side by '0.4'.
x = 5

Simplifying
x = 5

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