4x-2=-3(2x+8)+3x

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Solution for 4x-2=-3(2x+8)+3x equation:


Simplifying
4x + -2 = -3(2x + 8) + 3x

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

Reorder the terms:
-2 + 4x = -3(8 + 2x) + 3x
-2 + 4x = (8 * -3 + 2x * -3) + 3x
-2 + 4x = (-24 + -6x) + 3x

Combine like terms: -6x + 3x = -3x
-2 + 4x = -24 + -3x

Solving
-2 + 4x = -24 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-2 + 4x + 3x = -24 + -3x + 3x

Combine like terms: 4x + 3x = 7x
-2 + 7x = -24 + -3x + 3x

Combine like terms: -3x + 3x = 0
-2 + 7x = -24 + 0
-2 + 7x = -24

Add '2' to each side of the equation.
-2 + 2 + 7x = -24 + 2

Combine like terms: -2 + 2 = 0
0 + 7x = -24 + 2
7x = -24 + 2

Combine like terms: -24 + 2 = -22
7x = -22

Divide each side by '7'.
x = -3.142857143

Simplifying
x = -3.142857143

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