2(x+2)-6=10-3(x-1)

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Solution for 2(x+2)-6=10-3(x-1) equation: 


Simplifying
2(x + 2) + -6 = 10 + -3(x + -1)

Reorder the terms:
2(2 + x) + -6 = 10 + -3(x + -1)
(2 * 2 + x * 2) + -6 = 10 + -3(x + -1)
(4 + 2x) + -6 = 10 + -3(x + -1)

Reorder the terms:
4 + -6 + 2x = 10 + -3(x + -1)

Combine like terms: 4 + -6 = -2
-2 + 2x = 10 + -3(x + -1)

Reorder the terms:
-2 + 2x = 10 + -3(-1 + x)
-2 + 2x = 10 + (-1 * -3 + x * -3)
-2 + 2x = 10 + (3 + -3x)

Combine like terms: 10 + 3 = 13
-2 + 2x = 13 + -3x

Solving
-2 + 2x = 13 + -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 = 13 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-2 + 5x = 13 + -3x + 3x

Combine like terms: -3x + 3x = 0
-2 + 5x = 13 + 0
-2 + 5x = 13

Add '2' to each side of the equation.
-2 + 2 + 5x = 13 + 2

Combine like terms: -2 + 2 = 0
0 + 5x = 13 + 2
5x = 13 + 2

Combine like terms: 13 + 2 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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