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

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


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

Reorder the terms:
10(2 + 0.5x) + -5 = 3(x + -6) + 1
(2 * 10 + 0.5x * 10) + -5 = 3(x + -6) + 1
(20 + 5x) + -5 = 3(x + -6) + 1

Reorder the terms:
20 + -5 + 5x = 3(x + -6) + 1

Combine like terms: 20 + -5 = 15
15 + 5x = 3(x + -6) + 1

Reorder the terms:
15 + 5x = 3(-6 + x) + 1
15 + 5x = (-6 * 3 + x * 3) + 1
15 + 5x = (-18 + 3x) + 1

Reorder the terms:
15 + 5x = -18 + 1 + 3x

Combine like terms: -18 + 1 = -17
15 + 5x = -17 + 3x

Solving
15 + 5x = -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.
15 + 5x + -3x = -17 + 3x + -3x

Combine like terms: 5x + -3x = 2x
15 + 2x = -17 + 3x + -3x

Combine like terms: 3x + -3x = 0
15 + 2x = -17 + 0
15 + 2x = -17

Add '-15' to each side of the equation.
15 + -15 + 2x = -17 + -15

Combine like terms: 15 + -15 = 0
0 + 2x = -17 + -15
2x = -17 + -15

Combine like terms: -17 + -15 = -32
2x = -32

Divide each side by '2'.
x = -16

Simplifying
x = -16

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