7(x+7.4)=3(6.2-x)

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Solution for 7(x+7.4)=3(6.2-x) equation: 


Simplifying
7(x + 7.4) = 3(6.2 + -1x)

Reorder the terms:
7(7.4 + x) = 3(6.2 + -1x)
(7.4 * 7 + x * 7) = 3(6.2 + -1x)
(51.8 + 7x) = 3(6.2 + -1x)
51.8 + 7x = (6.2 * 3 + -1x * 3)
51.8 + 7x = (18.6 + -3x)

Solving
51.8 + 7x = 18.6 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
51.8 + 7x + 3x = 18.6 + -3x + 3x

Combine like terms: 7x + 3x = 10x
51.8 + 10x = 18.6 + -3x + 3x

Combine like terms: -3x + 3x = 0
51.8 + 10x = 18.6 + 0
51.8 + 10x = 18.6

Add '-51.8' to each side of the equation.
51.8 + -51.8 + 10x = 18.6 + -51.8

Combine like terms: 51.8 + -51.8 = 0.0
0.0 + 10x = 18.6 + -51.8
10x = 18.6 + -51.8

Combine like terms: 18.6 + -51.8 = -33.2
10x = -33.2

Divide each side by '10'.
x = -3.32

Simplifying
x = -3.32

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