10(.5+2)-5=3(x-6)+1

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Solution for 10(.5+2)-5=3(x-6)+1 equation: 


Simplifying
10(0.5 + 2) + -5 = 3(x + -6) + 1

Combine like terms: 0.5 + 2 = 2.5
10(2.5) + -5 = 3(x + -6) + 1

Multiply 10 * 2.5
25 + -5 = 3(x + -6) + 1

Combine like terms: 25 + -5 = 20
20 = 3(x + -6) + 1

Reorder the terms:
20 = 3(-6 + x) + 1
20 = (-6 * 3 + x * 3) + 1
20 = (-18 + 3x) + 1

Reorder the terms:
20 = -18 + 1 + 3x

Combine like terms: -18 + 1 = -17
20 = -17 + 3x

Solving
20 = -17 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
20 + -3x = -17 + 3x + -3x

Combine like terms: 3x + -3x = 0
20 + -3x = -17 + 0
20 + -3x = -17

Add '-20' to each side of the equation.
20 + -20 + -3x = -17 + -20

Combine like terms: 20 + -20 = 0
0 + -3x = -17 + -20
-3x = -17 + -20

Combine like terms: -17 + -20 = -37
-3x = -37

Divide each side by '-3'.
x = 12.33333333

Simplifying
x = 12.33333333

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