2(x+4.6)=6(7.8-x)

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Solution for 2(x+4.6)=6(7.8-x) equation:


Simplifying
2(x + 4.6) = 6(7.8 + -1x)

Reorder the terms:
2(4.6 + x) = 6(7.8 + -1x)
(4.6 * 2 + x * 2) = 6(7.8 + -1x)
(9.2 + 2x) = 6(7.8 + -1x)
9.2 + 2x = (7.8 * 6 + -1x * 6)
9.2 + 2x = (46.8 + -6x)

Solving
9.2 + 2x = 46.8 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
9.2 + 2x + 6x = 46.8 + -6x + 6x

Combine like terms: 2x + 6x = 8x
9.2 + 8x = 46.8 + -6x + 6x

Combine like terms: -6x + 6x = 0
9.2 + 8x = 46.8 + 0
9.2 + 8x = 46.8

Add '-9.2' to each side of the equation.
9.2 + -9.2 + 8x = 46.8 + -9.2

Combine like terms: 9.2 + -9.2 = 0.0
0.0 + 8x = 46.8 + -9.2
8x = 46.8 + -9.2

Combine like terms: 46.8 + -9.2 = 37.6
8x = 37.6

Divide each side by '8'.
x = 4.7

Simplifying
x = 4.7

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