2(x+3)+6=4x-10

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Solution for 2(x+3)+6=4x-10 equation:


Simplifying
2(x + 3) + 6 = 4x + -10

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

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

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

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

Solving
12 + 2x = -10 + 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.
12 + 2x + -4x = -10 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
12 + -2x = -10 + 0
12 + -2x = -10

Add '-12' to each side of the equation.
12 + -12 + -2x = -10 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = -10 + -12
-2x = -10 + -12

Combine like terms: -10 + -12 = -22
-2x = -22

Divide each side by '-2'.
x = 11

Simplifying
x = 11

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