3.7(83x-3)=3.7(7x-30)

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Solution for 3.7(83x-3)=3.7(7x-30) equation: 


Simplifying
3.7(83x + -3) = 3.7(7x + -30)

Reorder the terms:
3.7(-3 + 83x) = 3.7(7x + -30)
(-3 * 3.7 + 83x * 3.7) = 3.7(7x + -30)
(-11.1 + 307.1x) = 3.7(7x + -30)

Reorder the terms:
-11.1 + 307.1x = 3.7(-30 + 7x)
-11.1 + 307.1x = (-30 * 3.7 + 7x * 3.7)
-11.1 + 307.1x = (-111 + 25.9x)

Solving
-11.1 + 307.1x = -111 + 25.9x

Solving for variable 'x'.

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

Add '-25.9x' to each side of the equation.
-11.1 + 307.1x + -25.9x = -111 + 25.9x + -25.9x

Combine like terms: 307.1x + -25.9x = 281.2x
-11.1 + 281.2x = -111 + 25.9x + -25.9x

Combine like terms: 25.9x + -25.9x = 0.0
-11.1 + 281.2x = -111 + 0.0
-11.1 + 281.2x = -111

Add '11.1' to each side of the equation.
-11.1 + 11.1 + 281.2x = -111 + 11.1

Combine like terms: -11.1 + 11.1 = 0.0
0.0 + 281.2x = -111 + 11.1
281.2x = -111 + 11.1

Combine like terms: -111 + 11.1 = -99.9
281.2x = -99.9

Divide each side by '281.2'.
x = -0.3552631579

Simplifying
x = -0.3552631579

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