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

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


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

Combine like terms: -3x + 3x = 0
0 = 2(3 + 4x) + 3(-4x + 6)
0 = (3 * 2 + 4x * 2) + 3(-4x + 6)
0 = (6 + 8x) + 3(-4x + 6)

Reorder the terms:
0 = 6 + 8x + 3(6 + -4x)
0 = 6 + 8x + (6 * 3 + -4x * 3)
0 = 6 + 8x + (18 + -12x)

Reorder the terms:
0 = 6 + 18 + 8x + -12x

Combine like terms: 6 + 18 = 24
0 = 24 + 8x + -12x

Combine like terms: 8x + -12x = -4x
0 = 24 + -4x

Solving
0 = 24 + -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.
0 + 4x = 24 + -4x + 4x
Remove the zero:
4x = 24 + -4x + 4x

Combine like terms: -4x + 4x = 0
4x = 24 + 0
4x = 24

Divide each side by '4'.
x = 6

Simplifying
x = 6

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