3.5(-83x-3)=3.7(7x-30)

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Solution for 3.5(-83x-3)=3.7(7x-30) equation: 


Simplifying
3.5(-83x + -3) = 3.7(7x + -30)

Reorder the terms:
3.5(-3 + -83x) = 3.7(7x + -30)
(-3 * 3.5 + -83x * 3.5) = 3.7(7x + -30)
(-10.5 + -290.5x) = 3.7(7x + -30)

Reorder the terms:
-10.5 + -290.5x = 3.7(-30 + 7x)
-10.5 + -290.5x = (-30 * 3.7 + 7x * 3.7)
-10.5 + -290.5x = (-111 + 25.9x)

Solving
-10.5 + -290.5x = -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.
-10.5 + -290.5x + -25.9x = -111 + 25.9x + -25.9x

Combine like terms: -290.5x + -25.9x = -316.4x
-10.5 + -316.4x = -111 + 25.9x + -25.9x

Combine like terms: 25.9x + -25.9x = 0.0
-10.5 + -316.4x = -111 + 0.0
-10.5 + -316.4x = -111

Add '10.5' to each side of the equation.
-10.5 + 10.5 + -316.4x = -111 + 10.5

Combine like terms: -10.5 + 10.5 = 0.0
0.0 + -316.4x = -111 + 10.5
-316.4x = -111 + 10.5

Combine like terms: -111 + 10.5 = -100.5
-316.4x = -100.5

Divide each side by '-316.4'.
x = 0.3176359039

Simplifying
x = 0.3176359039

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