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

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


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

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

Combine like terms: 2 + 12 = 14
14 + 4x = 2x + -6

Reorder the terms:
14 + 4x = -6 + 2x

Solving
14 + 4x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
14 + 4x + -2x = -6 + 2x + -2x

Combine like terms: 4x + -2x = 2x
14 + 2x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
14 + 2x = -6 + 0
14 + 2x = -6

Add '-14' to each side of the equation.
14 + -14 + 2x = -6 + -14

Combine like terms: 14 + -14 = 0
0 + 2x = -6 + -14
2x = -6 + -14

Combine like terms: -6 + -14 = -20
2x = -20

Divide each side by '2'.
x = -10

Simplifying
x = -10

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