6.4x+10-2.8x=1.2x+17.8

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Solution for 6.4x+10-2.8x=1.2x+17.8 equation: 


Simplifying
6.4x + 10 + -2.8x = 1.2x + 17.8

Reorder the terms:
10 + 6.4x + -2.8x = 1.2x + 17.8

Combine like terms: 6.4x + -2.8x = 3.6x
10 + 3.6x = 1.2x + 17.8

Reorder the terms:
10 + 3.6x = 17.8 + 1.2x

Solving
10 + 3.6x = 17.8 + 1.2x

Solving for variable 'x'.

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

Add '-1.2x' to each side of the equation.
10 + 3.6x + -1.2x = 17.8 + 1.2x + -1.2x

Combine like terms: 3.6x + -1.2x = 2.4x
10 + 2.4x = 17.8 + 1.2x + -1.2x

Combine like terms: 1.2x + -1.2x = 0.0
10 + 2.4x = 17.8 + 0.0
10 + 2.4x = 17.8

Add '-10' to each side of the equation.
10 + -10 + 2.4x = 17.8 + -10

Combine like terms: 10 + -10 = 0
0 + 2.4x = 17.8 + -10
2.4x = 17.8 + -10

Combine like terms: 17.8 + -10 = 7.8
2.4x = 7.8

Divide each side by '2.4'.
x = 3.25

Simplifying
x = 3.25

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