3+0.1(8-x)=1.3x-(0.5x-3.8)

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Solution for 3+0.1(8-x)=1.3x-(0.5x-3.8) equation:


Simplifying
3 + 0.1(8 + -1x) = 1.3x + -1(0.5x + -3.8)
3 + (8 * 0.1 + -1x * 0.1) = 1.3x + -1(0.5x + -3.8)
3 + (0.8 + -0.1x) = 1.3x + -1(0.5x + -3.8)

Combine like terms: 3 + 0.8 = 3.8
3.8 + -0.1x = 1.3x + -1(0.5x + -3.8)

Reorder the terms:
3.8 + -0.1x = 1.3x + -1(-3.8 + 0.5x)
3.8 + -0.1x = 1.3x + (-3.8 * -1 + 0.5x * -1)
3.8 + -0.1x = 1.3x + (3.8 + -0.5x)

Reorder the terms:
3.8 + -0.1x = 3.8 + 1.3x + -0.5x

Combine like terms: 1.3x + -0.5x = 0.8x
3.8 + -0.1x = 3.8 + 0.8x

Add '-3.8' to each side of the equation.
3.8 + -3.8 + -0.1x = 3.8 + -3.8 + 0.8x

Combine like terms: 3.8 + -3.8 = 0.0
0.0 + -0.1x = 3.8 + -3.8 + 0.8x
-0.1x = 3.8 + -3.8 + 0.8x

Combine like terms: 3.8 + -3.8 = 0.0
-0.1x = 0.0 + 0.8x
-0.1x = 0.8x

Solving
-0.1x = 0.8x

Solving for variable 'x'.

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

Add '-0.8x' to each side of the equation.
-0.1x + -0.8x = 0.8x + -0.8x

Combine like terms: -0.1x + -0.8x = -0.9x
-0.9x = 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
-0.9x = 0.0

Divide each side by '-0.9'.
x = 0

Simplifying
x = 0

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