6(3x-5)=7(3x-12)

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Solution for 6(3x-5)=7(3x-12) equation:


Simplifying
6(3x + -5) = 7(3x + -12)

Reorder the terms:
6(-5 + 3x) = 7(3x + -12)
(-5 * 6 + 3x * 6) = 7(3x + -12)
(-30 + 18x) = 7(3x + -12)

Reorder the terms:
-30 + 18x = 7(-12 + 3x)
-30 + 18x = (-12 * 7 + 3x * 7)
-30 + 18x = (-84 + 21x)

Solving
-30 + 18x = -84 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
-30 + 18x + -21x = -84 + 21x + -21x

Combine like terms: 18x + -21x = -3x
-30 + -3x = -84 + 21x + -21x

Combine like terms: 21x + -21x = 0
-30 + -3x = -84 + 0
-30 + -3x = -84

Add '30' to each side of the equation.
-30 + 30 + -3x = -84 + 30

Combine like terms: -30 + 30 = 0
0 + -3x = -84 + 30
-3x = -84 + 30

Combine like terms: -84 + 30 = -54
-3x = -54

Divide each side by '-3'.
x = 18

Simplifying
x = 18

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