4(2x-3)=-2(3x+16)

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Solution for 4(2x-3)=-2(3x+16) equation:


Simplifying
4(2x + -3) = -2(3x + 16)

Reorder the terms:
4(-3 + 2x) = -2(3x + 16)
(-3 * 4 + 2x * 4) = -2(3x + 16)
(-12 + 8x) = -2(3x + 16)

Reorder the terms:
-12 + 8x = -2(16 + 3x)
-12 + 8x = (16 * -2 + 3x * -2)
-12 + 8x = (-32 + -6x)

Solving
-12 + 8x = -32 + -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.
-12 + 8x + 6x = -32 + -6x + 6x

Combine like terms: 8x + 6x = 14x
-12 + 14x = -32 + -6x + 6x

Combine like terms: -6x + 6x = 0
-12 + 14x = -32 + 0
-12 + 14x = -32

Add '12' to each side of the equation.
-12 + 12 + 14x = -32 + 12

Combine like terms: -12 + 12 = 0
0 + 14x = -32 + 12
14x = -32 + 12

Combine like terms: -32 + 12 = -20
14x = -20

Divide each side by '14'.
x = -1.428571429

Simplifying
x = -1.428571429

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