1.6(x-3)+2.4(x+3)=4.6x

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Solution for 1.6(x-3)+2.4(x+3)=4.6x equation: 


Simplifying
1.6(x + -3) + 2.4(x + 3) = 4.6x

Reorder the terms:
1.6(-3 + x) + 2.4(x + 3) = 4.6x
(-3 * 1.6 + x * 1.6) + 2.4(x + 3) = 4.6x
(-4.8 + 1.6x) + 2.4(x + 3) = 4.6x

Reorder the terms:
-4.8 + 1.6x + 2.4(3 + x) = 4.6x
-4.8 + 1.6x + (3 * 2.4 + x * 2.4) = 4.6x
-4.8 + 1.6x + (7.2 + 2.4x) = 4.6x

Reorder the terms:
-4.8 + 7.2 + 1.6x + 2.4x = 4.6x

Combine like terms: -4.8 + 7.2 = 2.4
2.4 + 1.6x + 2.4x = 4.6x

Combine like terms: 1.6x + 2.4x = 4x
2.4 + 4x = 4.6x

Solving
2.4 + 4x = 4.6x

Solving for variable 'x'.

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

Add '-4.6x' to each side of the equation.
2.4 + 4x + -4.6x = 4.6x + -4.6x

Combine like terms: 4x + -4.6x = -0.6x
2.4 + -0.6x = 4.6x + -4.6x

Combine like terms: 4.6x + -4.6x = 0.0
2.4 + -0.6x = 0.0

Add '-2.4' to each side of the equation.
2.4 + -2.4 + -0.6x = 0.0 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + -0.6x = 0.0 + -2.4
-0.6x = 0.0 + -2.4

Combine like terms: 0.0 + -2.4 = -2.4
-0.6x = -2.4

Divide each side by '-0.6'.
x = 4

Simplifying
x = 4

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