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

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


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

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

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

Add '12' to each side of the equation.
-12 + 12 + 4x = -12 + 12 + -6x

Combine like terms: -12 + 12 = 0
0 + 4x = -12 + 12 + -6x
4x = -12 + 12 + -6x

Combine like terms: -12 + 12 = 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 = 10x
10x = -6x + 6x

Combine like terms: -6x + 6x = 0
10x = 0

Divide each side by '10'.
x = 0.0

Simplifying
x = 0.0

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