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

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


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

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

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

Solving
-3 + 4x = -6 + -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.
-3 + 4x + 2x = -6 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
-3 + 6x = -6 + 0
-3 + 6x = -6

Add '3' to each side of the equation.
-3 + 3 + 6x = -6 + 3

Combine like terms: -3 + 3 = 0
0 + 6x = -6 + 3
6x = -6 + 3

Combine like terms: -6 + 3 = -3
6x = -3

Divide each side by '6'.
x = -0.5

Simplifying
x = -0.5

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