0.08x+0.25(x-6)=0.03(x+10)

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Solution for 0.08x+0.25(x-6)=0.03(x+10) equation: 


Simplifying
0.08x + 0.25(x + -6) = 0.03(x + 10)

Reorder the terms:
0.08x + 0.25(-6 + x) = 0.03(x + 10)
0.08x + (-6 * 0.25 + x * 0.25) = 0.03(x + 10)
0.08x + (-1.5 + 0.25x) = 0.03(x + 10)

Reorder the terms:
-1.5 + 0.08x + 0.25x = 0.03(x + 10)

Combine like terms: 0.08x + 0.25x = 0.33x
-1.5 + 0.33x = 0.03(x + 10)

Reorder the terms:
-1.5 + 0.33x = 0.03(10 + x)
-1.5 + 0.33x = (10 * 0.03 + x * 0.03)
-1.5 + 0.33x = (0.3 + 0.03x)

Solving
-1.5 + 0.33x = 0.3 + 0.03x

Solving for variable 'x'.

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

Add '-0.03x' to each side of the equation.
-1.5 + 0.33x + -0.03x = 0.3 + 0.03x + -0.03x

Combine like terms: 0.33x + -0.03x = 0.3x
-1.5 + 0.3x = 0.3 + 0.03x + -0.03x

Combine like terms: 0.03x + -0.03x = 0.00
-1.5 + 0.3x = 0.3 + 0.00
-1.5 + 0.3x = 0.3

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 0.3x = 0.3 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 0.3x = 0.3 + 1.5
0.3x = 0.3 + 1.5

Combine like terms: 0.3 + 1.5 = 1.8
0.3x = 1.8

Divide each side by '0.3'.
x = 6

Simplifying
x = 6

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