2.8x+52.4=1.4-7.4x

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Solution for 2.8x+52.4=1.4-7.4x equation: 


Simplifying
2.8x + 52.4 = 1.4 + -7.4x

Reorder the terms:
52.4 + 2.8x = 1.4 + -7.4x

Solving
52.4 + 2.8x = 1.4 + -7.4x

Solving for variable 'x'.

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

Add '7.4x' to each side of the equation.
52.4 + 2.8x + 7.4x = 1.4 + -7.4x + 7.4x

Combine like terms: 2.8x + 7.4x = 10.2x
52.4 + 10.2x = 1.4 + -7.4x + 7.4x

Combine like terms: -7.4x + 7.4x = 0.0
52.4 + 10.2x = 1.4 + 0.0
52.4 + 10.2x = 1.4

Add '-52.4' to each side of the equation.
52.4 + -52.4 + 10.2x = 1.4 + -52.4

Combine like terms: 52.4 + -52.4 = 0.0
0.0 + 10.2x = 1.4 + -52.4
10.2x = 1.4 + -52.4

Combine like terms: 1.4 + -52.4 = -51
10.2x = -51

Divide each side by '10.2'.
x = -5

Simplifying
x = -5

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