.5(15+6x)+10=12-10x

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Solution for .5(15+6x)+10=12-10x equation: 


Simplifying
0.5(15 + 6x) + 10 = 12 + -10x
(15 * 0.5 + 6x * 0.5) + 10 = 12 + -10x
(7.5 + 3x) + 10 = 12 + -10x

Reorder the terms:
7.5 + 10 + 3x = 12 + -10x

Combine like terms: 7.5 + 10 = 17.5
17.5 + 3x = 12 + -10x

Solving
17.5 + 3x = 12 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
17.5 + 3x + 10x = 12 + -10x + 10x

Combine like terms: 3x + 10x = 13x
17.5 + 13x = 12 + -10x + 10x

Combine like terms: -10x + 10x = 0
17.5 + 13x = 12 + 0
17.5 + 13x = 12

Add '-17.5' to each side of the equation.
17.5 + -17.5 + 13x = 12 + -17.5

Combine like terms: 17.5 + -17.5 = 0.0
0.0 + 13x = 12 + -17.5
13x = 12 + -17.5

Combine like terms: 12 + -17.5 = -5.5
13x = -5.5

Divide each side by '13'.
x = -0.4230769231

Simplifying
x = -0.4230769231

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