-3(x+4)=5x-2(x-6)

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Solution for -3(x+4)=5x-2(x-6) equation:


Simplifying
-3(x + 4) = 5x + -2(x + -6)

Reorder the terms:
-3(4 + x) = 5x + -2(x + -6)
(4 * -3 + x * -3) = 5x + -2(x + -6)
(-12 + -3x) = 5x + -2(x + -6)

Reorder the terms:
-12 + -3x = 5x + -2(-6 + x)
-12 + -3x = 5x + (-6 * -2 + x * -2)
-12 + -3x = 5x + (12 + -2x)

Reorder the terms:
-12 + -3x = 12 + 5x + -2x

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

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

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

Combine like terms: 3x + -3x = 0
-12 + -6x = 12 + 0
-12 + -6x = 12

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

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

Combine like terms: 12 + 12 = 24
-6x = 24

Divide each side by '-6'.
x = -4

Simplifying
x = -4

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