4.6(x-2)+2.5(2x-3)=

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Solution for 4.6(x-2)+2.5(2x-3)= equation: 


Simplifying
4.6(x + -2) + 2.5(2x + -3) = 0

Reorder the terms:
4.6(-2 + x) + 2.5(2x + -3) = 0
(-2 * 4.6 + x * 4.6) + 2.5(2x + -3) = 0
(-9.2 + 4.6x) + 2.5(2x + -3) = 0

Reorder the terms:
-9.2 + 4.6x + 2.5(-3 + 2x) = 0
-9.2 + 4.6x + (-3 * 2.5 + 2x * 2.5) = 0
-9.2 + 4.6x + (-7.5 + 5x) = 0

Reorder the terms:
-9.2 + -7.5 + 4.6x + 5x = 0

Combine like terms: -9.2 + -7.5 = -16.7
-16.7 + 4.6x + 5x = 0

Combine like terms: 4.6x + 5x = 9.6x
-16.7 + 9.6x = 0

Solving
-16.7 + 9.6x = 0

Solving for variable 'x'.

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

Add '16.7' to each side of the equation.
-16.7 + 16.7 + 9.6x = 0 + 16.7

Combine like terms: -16.7 + 16.7 = 0.0
0.0 + 9.6x = 0 + 16.7
9.6x = 0 + 16.7

Combine like terms: 0 + 16.7 = 16.7
9.6x = 16.7

Divide each side by '9.6'.
x = 1.739583333

Simplifying
x = 1.739583333

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