6.1-0.25(x+8)=0.3(x-3)

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Solution for 6.1-0.25(x+8)=0.3(x-3) equation: 


Simplifying
6.1 + -0.25(x + 8) = 0.3(x + -3)

Reorder the terms:
6.1 + -0.25(8 + x) = 0.3(x + -3)
6.1 + (8 * -0.25 + x * -0.25) = 0.3(x + -3)
6.1 + (-2 + -0.25x) = 0.3(x + -3)

Combine like terms: 6.1 + -2 = 4.1
4.1 + -0.25x = 0.3(x + -3)

Reorder the terms:
4.1 + -0.25x = 0.3(-3 + x)
4.1 + -0.25x = (-3 * 0.3 + x * 0.3)
4.1 + -0.25x = (-0.9 + 0.3x)

Solving
4.1 + -0.25x = -0.9 + 0.3x

Solving for variable 'x'.

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

Add '-0.3x' to each side of the equation.
4.1 + -0.25x + -0.3x = -0.9 + 0.3x + -0.3x

Combine like terms: -0.25x + -0.3x = -0.55x
4.1 + -0.55x = -0.9 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
4.1 + -0.55x = -0.9 + 0.0
4.1 + -0.55x = -0.9

Add '-4.1' to each side of the equation.
4.1 + -4.1 + -0.55x = -0.9 + -4.1

Combine like terms: 4.1 + -4.1 = 0.0
0.0 + -0.55x = -0.9 + -4.1
-0.55x = -0.9 + -4.1

Combine like terms: -0.9 + -4.1 = -5
-0.55x = -5

Divide each side by '-0.55'.
x = 9.090909091

Simplifying
x = 9.090909091

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