3(2x-3)=-1+2(x-4)

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Solution for 3(2x-3)=-1+2(x-4) equation:


Simplifying
3(2x + -3) = -1 + 2(x + -4)

Reorder the terms:
3(-3 + 2x) = -1 + 2(x + -4)
(-3 * 3 + 2x * 3) = -1 + 2(x + -4)
(-9 + 6x) = -1 + 2(x + -4)

Reorder the terms:
-9 + 6x = -1 + 2(-4 + x)
-9 + 6x = -1 + (-4 * 2 + x * 2)
-9 + 6x = -1 + (-8 + 2x)

Combine like terms: -1 + -8 = -9
-9 + 6x = -9 + 2x

Add '9' to each side of the equation.
-9 + 9 + 6x = -9 + 9 + 2x

Combine like terms: -9 + 9 = 0
0 + 6x = -9 + 9 + 2x
6x = -9 + 9 + 2x

Combine like terms: -9 + 9 = 0
6x = 0 + 2x
6x = 2x

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

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

Combine like terms: 2x + -2x = 0
4x = 0

Divide each side by '4'.
x = 0

Simplifying
x = 0

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