5(3x-4)=12x-5

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Solution for 5(3x-4)=12x-5 equation:


Simplifying
5(3x + -4) = 12x + -5

Reorder the terms:
5(-4 + 3x) = 12x + -5
(-4 * 5 + 3x * 5) = 12x + -5
(-20 + 15x) = 12x + -5

Reorder the terms:
-20 + 15x = -5 + 12x

Solving
-20 + 15x = -5 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-20 + 15x + -12x = -5 + 12x + -12x

Combine like terms: 15x + -12x = 3x
-20 + 3x = -5 + 12x + -12x

Combine like terms: 12x + -12x = 0
-20 + 3x = -5 + 0
-20 + 3x = -5

Add '20' to each side of the equation.
-20 + 20 + 3x = -5 + 20

Combine like terms: -20 + 20 = 0
0 + 3x = -5 + 20
3x = -5 + 20

Combine like terms: -5 + 20 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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