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

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


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

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

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

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

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

Combine like terms: 3x + 4x = 7x
3x = -6 + 7x

Solving
3x = -6 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
3x + -7x = -6 + 7x + -7x

Combine like terms: 3x + -7x = -4x
-4x = -6 + 7x + -7x

Combine like terms: 7x + -7x = 0
-4x = -6 + 0
-4x = -6

Divide each side by '-4'.
x = 1.5

Simplifying
x = 1.5

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