0.8(x-4)-0.3(x-6)=13.6

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Solution for 0.8(x-4)-0.3(x-6)=13.6 equation: 


Simplifying
0.8(x + -4) + -0.3(x + -6) = 13.6

Reorder the terms:
0.8(-4 + x) + -0.3(x + -6) = 13.6
(-4 * 0.8 + x * 0.8) + -0.3(x + -6) = 13.6
(-3.2 + 0.8x) + -0.3(x + -6) = 13.6

Reorder the terms:
-3.2 + 0.8x + -0.3(-6 + x) = 13.6
-3.2 + 0.8x + (-6 * -0.3 + x * -0.3) = 13.6
-3.2 + 0.8x + (1.8 + -0.3x) = 13.6

Reorder the terms:
-3.2 + 1.8 + 0.8x + -0.3x = 13.6

Combine like terms: -3.2 + 1.8 = -1.4
-1.4 + 0.8x + -0.3x = 13.6

Combine like terms: 0.8x + -0.3x = 0.5x
-1.4 + 0.5x = 13.6

Solving
-1.4 + 0.5x = 13.6

Solving for variable 'x'.

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

Add '1.4' to each side of the equation.
-1.4 + 1.4 + 0.5x = 13.6 + 1.4

Combine like terms: -1.4 + 1.4 = 0.0
0.0 + 0.5x = 13.6 + 1.4
0.5x = 13.6 + 1.4

Combine like terms: 13.6 + 1.4 = 15
0.5x = 15

Divide each side by '0.5'.
x = 30

Simplifying
x = 30

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