4(x-9)=-3(-2x+12)

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Solution for 4(x-9)=-3(-2x+12) equation:


Simplifying
4(x + -9) = -3(-2x + 12)

Reorder the terms:
4(-9 + x) = -3(-2x + 12)
(-9 * 4 + x * 4) = -3(-2x + 12)
(-36 + 4x) = -3(-2x + 12)

Reorder the terms:
-36 + 4x = -3(12 + -2x)
-36 + 4x = (12 * -3 + -2x * -3)
-36 + 4x = (-36 + 6x)

Add '36' to each side of the equation.
-36 + 36 + 4x = -36 + 36 + 6x

Combine like terms: -36 + 36 = 0
0 + 4x = -36 + 36 + 6x
4x = -36 + 36 + 6x

Combine like terms: -36 + 36 = 0
4x = 0 + 6x
4x = 6x

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

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

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

Divide each side by '-2'.
x = 0

Simplifying
x = 0

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