7(1.6-x)=3(x+4.5)

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Solution for 7(1.6-x)=3(x+4.5) equation: 


Simplifying
7(1.6 + -1x) = 3(x + 4.5)
(1.6 * 7 + -1x * 7) = 3(x + 4.5)
(11.2 + -7x) = 3(x + 4.5)

Reorder the terms:
11.2 + -7x = 3(4.5 + x)
11.2 + -7x = (4.5 * 3 + x * 3)
11.2 + -7x = (13.5 + 3x)

Solving
11.2 + -7x = 13.5 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
11.2 + -7x + -3x = 13.5 + 3x + -3x

Combine like terms: -7x + -3x = -10x
11.2 + -10x = 13.5 + 3x + -3x

Combine like terms: 3x + -3x = 0
11.2 + -10x = 13.5 + 0
11.2 + -10x = 13.5

Add '-11.2' to each side of the equation.
11.2 + -11.2 + -10x = 13.5 + -11.2

Combine like terms: 11.2 + -11.2 = 0.0
0.0 + -10x = 13.5 + -11.2
-10x = 13.5 + -11.2

Combine like terms: 13.5 + -11.2 = 2.3
-10x = 2.3

Divide each side by '-10'.
x = -0.23

Simplifying
x = -0.23

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