2x+2=3(x+2)-10

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Solution for 2x+2=3(x+2)-10 equation: 


Simplifying
2x + 2 = 3(x + 2) + -10

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

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

Reorder the terms:
2 + 2x = 6 + -10 + 3x

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

Solving
2 + 2x = -4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2 + 2x + -3x = -4 + 3x + -3x

Combine like terms: 2x + -3x = -1x
2 + -1x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + -1x = -4 + 0
2 + -1x = -4

Add '-2' to each side of the equation.
2 + -2 + -1x = -4 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = -4 + -2
-1x = -4 + -2

Combine like terms: -4 + -2 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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