3(x-4)=6(x+5)-15

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Solution for 3(x-4)=6(x+5)-15 equation:


Simplifying
3(x + -4) = 6(x + 5) + -15

Reorder the terms:
3(-4 + x) = 6(x + 5) + -15
(-4 * 3 + x * 3) = 6(x + 5) + -15
(-12 + 3x) = 6(x + 5) + -15

Reorder the terms:
-12 + 3x = 6(5 + x) + -15
-12 + 3x = (5 * 6 + x * 6) + -15
-12 + 3x = (30 + 6x) + -15

Reorder the terms:
-12 + 3x = 30 + -15 + 6x

Combine like terms: 30 + -15 = 15
-12 + 3x = 15 + 6x

Solving
-12 + 3x = 15 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-12 + 3x + -6x = 15 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-12 + -3x = 15 + 6x + -6x

Combine like terms: 6x + -6x = 0
-12 + -3x = 15 + 0
-12 + -3x = 15

Add '12' to each side of the equation.
-12 + 12 + -3x = 15 + 12

Combine like terms: -12 + 12 = 0
0 + -3x = 15 + 12
-3x = 15 + 12

Combine like terms: 15 + 12 = 27
-3x = 27

Divide each side by '-3'.
x = -9

Simplifying
x = -9

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