7.4x+7=6.1x-2.9+0.6x+13.96

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Solution for 7.4x+7=6.1x-2.9+0.6x+13.96 equation: 


Simplifying
7.4x + 7 = 6.1x + -2.9 + 0.6x + 13.96

Reorder the terms:
7 + 7.4x = 6.1x + -2.9 + 0.6x + 13.96

Reorder the terms:
7 + 7.4x = -2.9 + 13.96 + 6.1x + 0.6x

Combine like terms: -2.9 + 13.96 = 11.06
7 + 7.4x = 11.06 + 6.1x + 0.6x

Combine like terms: 6.1x + 0.6x = 6.7x
7 + 7.4x = 11.06 + 6.7x

Solving
7 + 7.4x = 11.06 + 6.7x

Solving for variable 'x'.

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

Add '-6.7x' to each side of the equation.
7 + 7.4x + -6.7x = 11.06 + 6.7x + -6.7x

Combine like terms: 7.4x + -6.7x = 0.7x
7 + 0.7x = 11.06 + 6.7x + -6.7x

Combine like terms: 6.7x + -6.7x = 0.0
7 + 0.7x = 11.06 + 0.0
7 + 0.7x = 11.06

Add '-7' to each side of the equation.
7 + -7 + 0.7x = 11.06 + -7

Combine like terms: 7 + -7 = 0
0 + 0.7x = 11.06 + -7
0.7x = 11.06 + -7

Combine like terms: 11.06 + -7 = 4.06
0.7x = 4.06

Divide each side by '0.7'.
x = 5.8

Simplifying
x = 5.8

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