-0.3(x-4)-6(0.2x-0.26)=0.8(x+4)-5.04

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Solution for -0.3(x-4)-6(0.2x-0.26)=0.8(x+4)-5.04 equation: 


Simplifying
-0.3(x + -4) + -6(0.2x + -0.26) = 0.8(x + 4) + -5.04

Reorder the terms:
-0.3(-4 + x) + -6(0.2x + -0.26) = 0.8(x + 4) + -5.04
(-4 * -0.3 + x * -0.3) + -6(0.2x + -0.26) = 0.8(x + 4) + -5.04
(1.2 + -0.3x) + -6(0.2x + -0.26) = 0.8(x + 4) + -5.04

Reorder the terms:
1.2 + -0.3x + -6(-0.26 + 0.2x) = 0.8(x + 4) + -5.04
1.2 + -0.3x + (-0.26 * -6 + 0.2x * -6) = 0.8(x + 4) + -5.04
1.2 + -0.3x + (1.56 + -1.2x) = 0.8(x + 4) + -5.04

Reorder the terms:
1.2 + 1.56 + -0.3x + -1.2x = 0.8(x + 4) + -5.04

Combine like terms: 1.2 + 1.56 = 2.76
2.76 + -0.3x + -1.2x = 0.8(x + 4) + -5.04

Combine like terms: -0.3x + -1.2x = -1.5x
2.76 + -1.5x = 0.8(x + 4) + -5.04

Reorder the terms:
2.76 + -1.5x = 0.8(4 + x) + -5.04
2.76 + -1.5x = (4 * 0.8 + x * 0.8) + -5.04
2.76 + -1.5x = (3.2 + 0.8x) + -5.04

Reorder the terms:
2.76 + -1.5x = 3.2 + -5.04 + 0.8x

Combine like terms: 3.2 + -5.04 = -1.84
2.76 + -1.5x = -1.84 + 0.8x

Solving
2.76 + -1.5x = -1.84 + 0.8x

Solving for variable 'x'.

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

Add '-0.8x' to each side of the equation.
2.76 + -1.5x + -0.8x = -1.84 + 0.8x + -0.8x

Combine like terms: -1.5x + -0.8x = -2.3x
2.76 + -2.3x = -1.84 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
2.76 + -2.3x = -1.84 + 0.0
2.76 + -2.3x = -1.84

Add '-2.76' to each side of the equation.
2.76 + -2.76 + -2.3x = -1.84 + -2.76

Combine like terms: 2.76 + -2.76 = 0.00
0.00 + -2.3x = -1.84 + -2.76
-2.3x = -1.84 + -2.76

Combine like terms: -1.84 + -2.76 = -4.6
-2.3x = -4.6

Divide each side by '-2.3'.
x = 2

Simplifying
x = 2

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