3.2x-7.4=-7.8x+3.7

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Solution for 3.2x-7.4=-7.8x+3.7 equation:


Simplifying
3.2x + -7.4 = -7.8x + 3.7

Reorder the terms:
-7.4 + 3.2x = -7.8x + 3.7

Reorder the terms:
-7.4 + 3.2x = 3.7 + -7.8x

Solving
-7.4 + 3.2x = 3.7 + -7.8x

Solving for variable 'x'.

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

Add '7.8x' to each side of the equation.
-7.4 + 3.2x + 7.8x = 3.7 + -7.8x + 7.8x

Combine like terms: 3.2x + 7.8x = 11x
-7.4 + 11x = 3.7 + -7.8x + 7.8x

Combine like terms: -7.8x + 7.8x = 0.0
-7.4 + 11x = 3.7 + 0.0
-7.4 + 11x = 3.7

Add '7.4' to each side of the equation.
-7.4 + 7.4 + 11x = 3.7 + 7.4

Combine like terms: -7.4 + 7.4 = 0.0
0.0 + 11x = 3.7 + 7.4
11x = 3.7 + 7.4

Combine like terms: 3.7 + 7.4 = 11.1
11x = 11.1

Divide each side by '11'.
x = 1.009090909

Simplifying
x = 1.009090909

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