2(x+5)=2-3(x+3x)+15

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Solution for 2(x+5)=2-3(x+3x)+15 equation: 


Simplifying
2(x + 5) = 2 + -3(x + 3x) + 15

Reorder the terms:
2(5 + x) = 2 + -3(x + 3x) + 15
(5 * 2 + x * 2) = 2 + -3(x + 3x) + 15
(10 + 2x) = 2 + -3(x + 3x) + 15

Combine like terms: x + 3x = 4x
10 + 2x = 2 + -3(4x) + 15

Remove parenthesis around (4x)
10 + 2x = 2 + -3 * 4x + 15

Multiply -3 * 4
10 + 2x = 2 + -12x + 15

Reorder the terms:
10 + 2x = 2 + 15 + -12x

Combine like terms: 2 + 15 = 17
10 + 2x = 17 + -12x

Solving
10 + 2x = 17 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
10 + 2x + 12x = 17 + -12x + 12x

Combine like terms: 2x + 12x = 14x
10 + 14x = 17 + -12x + 12x

Combine like terms: -12x + 12x = 0
10 + 14x = 17 + 0
10 + 14x = 17

Add '-10' to each side of the equation.
10 + -10 + 14x = 17 + -10

Combine like terms: 10 + -10 = 0
0 + 14x = 17 + -10
14x = 17 + -10

Combine like terms: 17 + -10 = 7
14x = 7

Divide each side by '14'.
x = 0.5

Simplifying
x = 0.5

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