2(x+4)-2=4(x+3)-10

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Solution for 2(x+4)-2=4(x+3)-10 equation: 


Simplifying
2(x + 4) + -2 = 4(x + 3) + -10

Reorder the terms:
2(4 + x) + -2 = 4(x + 3) + -10
(4 * 2 + x * 2) + -2 = 4(x + 3) + -10
(8 + 2x) + -2 = 4(x + 3) + -10

Reorder the terms:
8 + -2 + 2x = 4(x + 3) + -10

Combine like terms: 8 + -2 = 6
6 + 2x = 4(x + 3) + -10

Reorder the terms:
6 + 2x = 4(3 + x) + -10
6 + 2x = (3 * 4 + x * 4) + -10
6 + 2x = (12 + 4x) + -10

Reorder the terms:
6 + 2x = 12 + -10 + 4x

Combine like terms: 12 + -10 = 2
6 + 2x = 2 + 4x

Solving
6 + 2x = 2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6 + 2x + -4x = 2 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
6 + -2x = 2 + 0
6 + -2x = 2

Add '-6' to each side of the equation.
6 + -6 + -2x = 2 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = 2 + -6
-2x = 2 + -6

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

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

Simplifying
x = 2

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