2.9x+38.7=5.4-8.2x

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Solution for 2.9x+38.7=5.4-8.2x equation: 


Simplifying
2.9x + 38.7 = 5.4 + -8.2x

Reorder the terms:
38.7 + 2.9x = 5.4 + -8.2x

Solving
38.7 + 2.9x = 5.4 + -8.2x

Solving for variable 'x'.

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

Add '8.2x' to each side of the equation.
38.7 + 2.9x + 8.2x = 5.4 + -8.2x + 8.2x

Combine like terms: 2.9x + 8.2x = 11.1x
38.7 + 11.1x = 5.4 + -8.2x + 8.2x

Combine like terms: -8.2x + 8.2x = 0.0
38.7 + 11.1x = 5.4 + 0.0
38.7 + 11.1x = 5.4

Add '-38.7' to each side of the equation.
38.7 + -38.7 + 11.1x = 5.4 + -38.7

Combine like terms: 38.7 + -38.7 = 0.0
0.0 + 11.1x = 5.4 + -38.7
11.1x = 5.4 + -38.7

Combine like terms: 5.4 + -38.7 = -33.3
11.1x = -33.3

Divide each side by '11.1'.
x = -3

Simplifying
x = -3

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