2(x-1)=-3(x+3)

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Solution for 2(x-1)=-3(x+3) equation:


Simplifying
2(x + -1) = -3(x + 3)

Reorder the terms:
2(-1 + x) = -3(x + 3)
(-1 * 2 + x * 2) = -3(x + 3)
(-2 + 2x) = -3(x + 3)

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

Solving
-2 + 2x = -9 + -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 + 2x + 3x = -9 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-2 + 5x = -9 + -3x + 3x

Combine like terms: -3x + 3x = 0
-2 + 5x = -9 + 0
-2 + 5x = -9

Add '2' to each side of the equation.
-2 + 2 + 5x = -9 + 2

Combine like terms: -2 + 2 = 0
0 + 5x = -9 + 2
5x = -9 + 2

Combine like terms: -9 + 2 = -7
5x = -7

Divide each side by '5'.
x = -1.4

Simplifying
x = -1.4

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