x-1.3x+2.8=2(x-3.2)

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Solution for x-1.3x+2.8=2(x-3.2) equation: 


Simplifying
x + -1.3x + 2.8 = 2(x + -3.2)

Reorder the terms:
2.8 + x + -1.3x = 2(x + -3.2)

Combine like terms: x + -1.3x = -0.3x
2.8 + -0.3x = 2(x + -3.2)

Reorder the terms:
2.8 + -0.3x = 2(-3.2 + x)
2.8 + -0.3x = (-3.2 * 2 + x * 2)
2.8 + -0.3x = (-6.4 + 2x)

Solving
2.8 + -0.3x = -6.4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
2.8 + -0.3x + -2x = -6.4 + 2x + -2x

Combine like terms: -0.3x + -2x = -2.3x
2.8 + -2.3x = -6.4 + 2x + -2x

Combine like terms: 2x + -2x = 0
2.8 + -2.3x = -6.4 + 0
2.8 + -2.3x = -6.4

Add '-2.8' to each side of the equation.
2.8 + -2.8 + -2.3x = -6.4 + -2.8

Combine like terms: 2.8 + -2.8 = 0.0
0.0 + -2.3x = -6.4 + -2.8
-2.3x = -6.4 + -2.8

Combine like terms: -6.4 + -2.8 = -9.2
-2.3x = -9.2

Divide each side by '-2.3'.
x = 4

Simplifying
x = 4

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