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

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


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

Combine like terms: -83 + -3 = -86
3.7(-86) = 3.7(7x + -30)

Multiply 3.7 * -86
-318.2 = 3.7(7x + -30)

Reorder the terms:
-318.2 = 3.7(-30 + 7x)
-318.2 = (-30 * 3.7 + 7x * 3.7)
-318.2 = (-111 + 25.9x)

Solving
-318.2 = -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.
-318.2 + -25.9x = -111 + 25.9x + -25.9x

Combine like terms: 25.9x + -25.9x = 0.0
-318.2 + -25.9x = -111 + 0.0
-318.2 + -25.9x = -111

Add '318.2' to each side of the equation.
-318.2 + 318.2 + -25.9x = -111 + 318.2

Combine like terms: -318.2 + 318.2 = 0.0
0.0 + -25.9x = -111 + 318.2
-25.9x = -111 + 318.2

Combine like terms: -111 + 318.2 = 207.2
-25.9x = 207.2

Divide each side by '-25.9'.
x = -8

Simplifying
x = -8

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