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

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


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

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

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

Solving
-12 + 3x = -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.
-12 + 3x + 2x = -6 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-12 + 5x = -6 + -2x + 2x

Combine like terms: -2x + 2x = 0
-12 + 5x = -6 + 0
-12 + 5x = -6

Add '12' to each side of the equation.
-12 + 12 + 5x = -6 + 12

Combine like terms: -12 + 12 = 0
0 + 5x = -6 + 12
5x = -6 + 12

Combine like terms: -6 + 12 = 6
5x = 6

Divide each side by '5'.
x = 1.2

Simplifying
x = 1.2

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