2.5(x+8)=1.8x+12.3

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Solution for 2.5(x+8)=1.8x+12.3 equation: 


Simplifying
2.5(x + 8) = 1.8x + 12.3

Reorder the terms:
2.5(8 + x) = 1.8x + 12.3
(8 * 2.5 + x * 2.5) = 1.8x + 12.3
(20 + 2.5x) = 1.8x + 12.3

Reorder the terms:
20 + 2.5x = 12.3 + 1.8x

Solving
20 + 2.5x = 12.3 + 1.8x

Solving for variable 'x'.

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

Add '-1.8x' to each side of the equation.
20 + 2.5x + -1.8x = 12.3 + 1.8x + -1.8x

Combine like terms: 2.5x + -1.8x = 0.7x
20 + 0.7x = 12.3 + 1.8x + -1.8x

Combine like terms: 1.8x + -1.8x = 0.0
20 + 0.7x = 12.3 + 0.0
20 + 0.7x = 12.3

Add '-20' to each side of the equation.
20 + -20 + 0.7x = 12.3 + -20

Combine like terms: 20 + -20 = 0
0 + 0.7x = 12.3 + -20
0.7x = 12.3 + -20

Combine like terms: 12.3 + -20 = -7.7
0.7x = -7.7

Divide each side by '0.7'.
x = -11

Simplifying
x = -11

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