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

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


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

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

Remove parenthesis around (-2 + x)
-2 + x + 3(x + 5) = 2x + -2

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

Reorder the terms:
-2 + 15 + x + 3x = 2x + -2

Combine like terms: -2 + 15 = 13
13 + x + 3x = 2x + -2

Combine like terms: x + 3x = 4x
13 + 4x = 2x + -2

Reorder the terms:
13 + 4x = -2 + 2x

Solving
13 + 4x = -2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
13 + 4x + -2x = -2 + 2x + -2x

Combine like terms: 4x + -2x = 2x
13 + 2x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
13 + 2x = -2 + 0
13 + 2x = -2

Add '-13' to each side of the equation.
13 + -13 + 2x = -2 + -13

Combine like terms: 13 + -13 = 0
0 + 2x = -2 + -13
2x = -2 + -13

Combine like terms: -2 + -13 = -15
2x = -15

Divide each side by '2'.
x = -7.5

Simplifying
x = -7.5

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