0.6(4x+12)-0.8(x-4)=26.4

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Solution for 0.6(4x+12)-0.8(x-4)=26.4 equation: 


Simplifying
0.6(4x + 12) + -0.8(x + -4) = 26.4

Reorder the terms:
0.6(12 + 4x) + -0.8(x + -4) = 26.4
(12 * 0.6 + 4x * 0.6) + -0.8(x + -4) = 26.4
(7.2 + 2.4x) + -0.8(x + -4) = 26.4

Reorder the terms:
7.2 + 2.4x + -0.8(-4 + x) = 26.4
7.2 + 2.4x + (-4 * -0.8 + x * -0.8) = 26.4
7.2 + 2.4x + (3.2 + -0.8x) = 26.4

Reorder the terms:
7.2 + 3.2 + 2.4x + -0.8x = 26.4

Combine like terms: 7.2 + 3.2 = 10.4
10.4 + 2.4x + -0.8x = 26.4

Combine like terms: 2.4x + -0.8x = 1.6x
10.4 + 1.6x = 26.4

Solving
10.4 + 1.6x = 26.4

Solving for variable 'x'.

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

Add '-10.4' to each side of the equation.
10.4 + -10.4 + 1.6x = 26.4 + -10.4

Combine like terms: 10.4 + -10.4 = 0.0
0.0 + 1.6x = 26.4 + -10.4
1.6x = 26.4 + -10.4

Combine like terms: 26.4 + -10.4 = 16
1.6x = 16

Divide each side by '1.6'.
x = 10

Simplifying
x = 10

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