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

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


Simplifying
3(x + -2) = 4(-1x + -3)

Reorder the terms:
3(-2 + x) = 4(-1x + -3)
(-2 * 3 + x * 3) = 4(-1x + -3)
(-6 + 3x) = 4(-1x + -3)

Reorder the terms:
-6 + 3x = 4(-3 + -1x)
-6 + 3x = (-3 * 4 + -1x * 4)
-6 + 3x = (-12 + -4x)

Solving
-6 + 3x = -12 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-6 + 3x + 4x = -12 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-6 + 7x = -12 + -4x + 4x

Combine like terms: -4x + 4x = 0
-6 + 7x = -12 + 0
-6 + 7x = -12

Add '6' to each side of the equation.
-6 + 6 + 7x = -12 + 6

Combine like terms: -6 + 6 = 0
0 + 7x = -12 + 6
7x = -12 + 6

Combine like terms: -12 + 6 = -6
7x = -6

Divide each side by '7'.
x = -0.8571428571

Simplifying
x = -0.8571428571

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