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

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


Simplifying
2x + 3(4 + -2x) = 2(x + 3)
2x + (4 * 3 + -2x * 3) = 2(x + 3)
2x + (12 + -6x) = 2(x + 3)

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

Combine like terms: 2x + -6x = -4x
12 + -4x = 2(x + 3)

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

Solving
12 + -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.
12 + -4x + -2x = 6 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
12 + -6x = 6 + 0
12 + -6x = 6

Add '-12' to each side of the equation.
12 + -12 + -6x = 6 + -12

Combine like terms: 12 + -12 = 0
0 + -6x = 6 + -12
-6x = 6 + -12

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

Divide each side by '-6'.
x = 1

Simplifying
x = 1

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