-3(2.5x-1)+20.2=35.475-5x

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Solution for -3(2.5x-1)+20.2=35.475-5x equation: 


Simplifying
-3(2.5x + -1) + 20.2 = 35.475 + -5x

Reorder the terms:
-3(-1 + 2.5x) + 20.2 = 35.475 + -5x
(-1 * -3 + 2.5x * -3) + 20.2 = 35.475 + -5x
(3 + -7.5x) + 20.2 = 35.475 + -5x

Reorder the terms:
3 + 20.2 + -7.5x = 35.475 + -5x

Combine like terms: 3 + 20.2 = 23.2
23.2 + -7.5x = 35.475 + -5x

Solving
23.2 + -7.5x = 35.475 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
23.2 + -7.5x + 5x = 35.475 + -5x + 5x

Combine like terms: -7.5x + 5x = -2.5x
23.2 + -2.5x = 35.475 + -5x + 5x

Combine like terms: -5x + 5x = 0
23.2 + -2.5x = 35.475 + 0
23.2 + -2.5x = 35.475

Add '-23.2' to each side of the equation.
23.2 + -23.2 + -2.5x = 35.475 + -23.2

Combine like terms: 23.2 + -23.2 = 0.0
0.0 + -2.5x = 35.475 + -23.2
-2.5x = 35.475 + -23.2

Combine like terms: 35.475 + -23.2 = 12.275
-2.5x = 12.275

Divide each side by '-2.5'.
x = -4.91

Simplifying
x = -4.91

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