2x+(x+2)=5x-10

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Solution for 2x+(x+2)=5x-10 equation:


Simplifying
2x + (x + 2) = 5x + -10

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

Remove parenthesis around (2 + x)
2x + 2 + x = 5x + -10

Reorder the terms:
2 + 2x + x = 5x + -10

Combine like terms: 2x + x = 3x
2 + 3x = 5x + -10

Reorder the terms:
2 + 3x = -10 + 5x

Solving
2 + 3x = -10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
2 + 3x + -5x = -10 + 5x + -5x

Combine like terms: 3x + -5x = -2x
2 + -2x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
2 + -2x = -10 + 0
2 + -2x = -10

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

Combine like terms: 2 + -2 = 0
0 + -2x = -10 + -2
-2x = -10 + -2

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

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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