2.4(x-1.3)=3.6(-x+2.8)

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Solution for 2.4(x-1.3)=3.6(-x+2.8) equation: 


Simplifying
2.4(x + -1.3) = 3.6(-1x + 2.8)

Reorder the terms:
2.4(-1.3 + x) = 3.6(-1x + 2.8)
(-1.3 * 2.4 + x * 2.4) = 3.6(-1x + 2.8)
(-3.12 + 2.4x) = 3.6(-1x + 2.8)

Reorder the terms:
-3.12 + 2.4x = 3.6(2.8 + -1x)
-3.12 + 2.4x = (2.8 * 3.6 + -1x * 3.6)
-3.12 + 2.4x = (10.08 + -3.6x)

Solving
-3.12 + 2.4x = 10.08 + -3.6x

Solving for variable 'x'.

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

Add '3.6x' to each side of the equation.
-3.12 + 2.4x + 3.6x = 10.08 + -3.6x + 3.6x

Combine like terms: 2.4x + 3.6x = 6x
-3.12 + 6x = 10.08 + -3.6x + 3.6x

Combine like terms: -3.6x + 3.6x = 0.0
-3.12 + 6x = 10.08 + 0.0
-3.12 + 6x = 10.08

Add '3.12' to each side of the equation.
-3.12 + 3.12 + 6x = 10.08 + 3.12

Combine like terms: -3.12 + 3.12 = 0.00
0.00 + 6x = 10.08 + 3.12
6x = 10.08 + 3.12

Combine like terms: 10.08 + 3.12 = 13.2
6x = 13.2

Divide each side by '6'.
x = 2.2

Simplifying
x = 2.2

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