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

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


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

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

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

Combine like terms: 3x + 4x = 7x
12 + 7x = 2(3x + 6)

Reorder the terms:
12 + 7x = 2(6 + 3x)
12 + 7x = (6 * 2 + 3x * 2)
12 + 7x = (12 + 6x)

Add '-12' to each side of the equation.
12 + -12 + 7x = 12 + -12 + 6x

Combine like terms: 12 + -12 = 0
0 + 7x = 12 + -12 + 6x
7x = 12 + -12 + 6x

Combine like terms: 12 + -12 = 0
7x = 0 + 6x
7x = 6x

Solving
7x = 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
7x + -6x = 6x + -6x

Combine like terms: 7x + -6x = 1x
1x = 6x + -6x

Combine like terms: 6x + -6x = 0
1x = 0

Divide each side by '1'.
x = 0

Simplifying
x = 0

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