2(x+5)-6x=3(x+2)+x

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


Simplifying
2(x + 5) + -6x = 3(x + 2) + x

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

Combine like terms: 2x + -6x = -4x
10 + -4x = 3(x + 2) + x

Reorder the terms:
10 + -4x = 3(2 + x) + x
10 + -4x = (2 * 3 + x * 3) + x
10 + -4x = (6 + 3x) + x

Combine like terms: 3x + x = 4x
10 + -4x = 6 + 4x

Solving
10 + -4x = 6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
10 + -4x + -4x = 6 + 4x + -4x

Combine like terms: -4x + -4x = -8x
10 + -8x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + -8x = 6 + 0
10 + -8x = 6

Add '-10' to each side of the equation.
10 + -10 + -8x = 6 + -10

Combine like terms: 10 + -10 = 0
0 + -8x = 6 + -10
-8x = 6 + -10

Combine like terms: 6 + -10 = -4
-8x = -4

Divide each side by '-8'.
x = 0.5

Simplifying
x = 0.5

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