6.8(x+3)=4.5x+45.7

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Solution for 6.8(x+3)=4.5x+45.7 equation: 


Simplifying
6.8(x + 3) = 4.5x + 45.7

Reorder the terms:
6.8(3 + x) = 4.5x + 45.7
(3 * 6.8 + x * 6.8) = 4.5x + 45.7
(20.4 + 6.8x) = 4.5x + 45.7

Reorder the terms:
20.4 + 6.8x = 45.7 + 4.5x

Solving
20.4 + 6.8x = 45.7 + 4.5x

Solving for variable 'x'.

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

Add '-4.5x' to each side of the equation.
20.4 + 6.8x + -4.5x = 45.7 + 4.5x + -4.5x

Combine like terms: 6.8x + -4.5x = 2.3x
20.4 + 2.3x = 45.7 + 4.5x + -4.5x

Combine like terms: 4.5x + -4.5x = 0.0
20.4 + 2.3x = 45.7 + 0.0
20.4 + 2.3x = 45.7

Add '-20.4' to each side of the equation.
20.4 + -20.4 + 2.3x = 45.7 + -20.4

Combine like terms: 20.4 + -20.4 = 0.0
0.0 + 2.3x = 45.7 + -20.4
2.3x = 45.7 + -20.4

Combine like terms: 45.7 + -20.4 = 25.3
2.3x = 25.3

Divide each side by '2.3'.
x = 11

Simplifying
x = 11

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