0.3x-0.8(17-4x)=0.1(x-8)

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Solution for 0.3x-0.8(17-4x)=0.1(x-8) equation:


Simplifying
0.3x + -0.8(17 + -4x) = 0.1(x + -8)
0.3x + (17 * -0.8 + -4x * -0.8) = 0.1(x + -8)
0.3x + (-13.6 + 3.2x) = 0.1(x + -8)

Reorder the terms:
-13.6 + 0.3x + 3.2x = 0.1(x + -8)

Combine like terms: 0.3x + 3.2x = 3.5x
-13.6 + 3.5x = 0.1(x + -8)

Reorder the terms:
-13.6 + 3.5x = 0.1(-8 + x)
-13.6 + 3.5x = (-8 * 0.1 + x * 0.1)
-13.6 + 3.5x = (-0.8 + 0.1x)

Solving
-13.6 + 3.5x = -0.8 + 0.1x

Solving for variable 'x'.

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

Add '-0.1x' to each side of the equation.
-13.6 + 3.5x + -0.1x = -0.8 + 0.1x + -0.1x

Combine like terms: 3.5x + -0.1x = 3.4x
-13.6 + 3.4x = -0.8 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
-13.6 + 3.4x = -0.8 + 0.0
-13.6 + 3.4x = -0.8

Add '13.6' to each side of the equation.
-13.6 + 13.6 + 3.4x = -0.8 + 13.6

Combine like terms: -13.6 + 13.6 = 0.0
0.0 + 3.4x = -0.8 + 13.6
3.4x = -0.8 + 13.6

Combine like terms: -0.8 + 13.6 = 12.8
3.4x = 12.8

Divide each side by '3.4'.
x = 3.764705882

Simplifying
x = 3.764705882

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