-3(x+6)=4(-x-3)

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Solution for -3(x+6)=4(-x-3) equation:


Simplifying
-3(x + 6) = 4(-1x + -3)

Reorder the terms:
-3(6 + x) = 4(-1x + -3)
(6 * -3 + x * -3) = 4(-1x + -3)
(-18 + -3x) = 4(-1x + -3)

Reorder the terms:
-18 + -3x = 4(-3 + -1x)
-18 + -3x = (-3 * 4 + -1x * 4)
-18 + -3x = (-12 + -4x)

Solving
-18 + -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.
-18 + -3x + 4x = -12 + -4x + 4x

Combine like terms: -3x + 4x = 1x
-18 + 1x = -12 + -4x + 4x

Combine like terms: -4x + 4x = 0
-18 + 1x = -12 + 0
-18 + 1x = -12

Add '18' to each side of the equation.
-18 + 18 + 1x = -12 + 18

Combine like terms: -18 + 18 = 0
0 + 1x = -12 + 18
1x = -12 + 18

Combine like terms: -12 + 18 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6

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