3(x-10)+1=x(25.5-8)

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Solution for 3(x-10)+1=x(25.5-8) equation: 


Simplifying
3(x + -10) + 1 = x(25.5 + -8)

Reorder the terms:
3(-10 + x) + 1 = x(25.5 + -8)
(-10 * 3 + x * 3) + 1 = x(25.5 + -8)
(-30 + 3x) + 1 = x(25.5 + -8)

Reorder the terms:
-30 + 1 + 3x = x(25.5 + -8)

Combine like terms: -30 + 1 = -29
-29 + 3x = x(25.5 + -8)

Combine like terms: 25.5 + -8 = 17.5
-29 + 3x = x(17.5)

Reorder the terms for easier multiplication:
-29 + 3x = 17.5x

Solving
-29 + 3x = 17.5x

Solving for variable 'x'.

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

Add '-17.5x' to each side of the equation.
-29 + 3x + -17.5x = 17.5x + -17.5x

Combine like terms: 3x + -17.5x = -14.5x
-29 + -14.5x = 17.5x + -17.5x

Combine like terms: 17.5x + -17.5x = 0.0
-29 + -14.5x = 0.0

Add '29' to each side of the equation.
-29 + 29 + -14.5x = 0.0 + 29

Combine like terms: -29 + 29 = 0
0 + -14.5x = 0.0 + 29
-14.5x = 0.0 + 29

Combine like terms: 0.0 + 29 = 29
-14.5x = 29

Divide each side by '-14.5'.
x = -2

Simplifying
x = -2

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