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

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


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

Reorder the terms:
-6 + 2x + -3x = 4x + 6

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

Reorder the terms:
-6 + -1x = 6 + 4x

Solving
-6 + -1x = 6 + 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 + -1x + -4x = 6 + 4x + -4x

Combine like terms: -1x + -4x = -5x
-6 + -5x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + -5x = 6 + 0
-6 + -5x = 6

Add '6' to each side of the equation.
-6 + 6 + -5x = 6 + 6

Combine like terms: -6 + 6 = 0
0 + -5x = 6 + 6
-5x = 6 + 6

Combine like terms: 6 + 6 = 12
-5x = 12

Divide each side by '-5'.
x = -2.4

Simplifying
x = -2.4

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