6+1.3(x-9)=1.2(2-x)

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Solution for 6+1.3(x-9)=1.2(2-x) equation: 


Simplifying
6 + 1.3(x + -9) = 1.2(2 + -1x)

Reorder the terms:
6 + 1.3(-9 + x) = 1.2(2 + -1x)
6 + (-9 * 1.3 + x * 1.3) = 1.2(2 + -1x)
6 + (-11.7 + 1.3x) = 1.2(2 + -1x)

Combine like terms: 6 + -11.7 = -5.7
-5.7 + 1.3x = 1.2(2 + -1x)
-5.7 + 1.3x = (2 * 1.2 + -1x * 1.2)
-5.7 + 1.3x = (2.4 + -1.2x)

Solving
-5.7 + 1.3x = 2.4 + -1.2x

Solving for variable 'x'.

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

Add '1.2x' to each side of the equation.
-5.7 + 1.3x + 1.2x = 2.4 + -1.2x + 1.2x

Combine like terms: 1.3x + 1.2x = 2.5x
-5.7 + 2.5x = 2.4 + -1.2x + 1.2x

Combine like terms: -1.2x + 1.2x = 0.0
-5.7 + 2.5x = 2.4 + 0.0
-5.7 + 2.5x = 2.4

Add '5.7' to each side of the equation.
-5.7 + 5.7 + 2.5x = 2.4 + 5.7

Combine like terms: -5.7 + 5.7 = 0.0
0.0 + 2.5x = 2.4 + 5.7
2.5x = 2.4 + 5.7

Combine like terms: 2.4 + 5.7 = 8.1
2.5x = 8.1

Divide each side by '2.5'.
x = 3.24

Simplifying
x = 3.24

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