3(5x+4)=12x-11

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Solution for 3(5x+4)=12x-11 equation:


Simplifying
3(5x + 4) = 12x + -11

Reorder the terms:
3(4 + 5x) = 12x + -11
(4 * 3 + 5x * 3) = 12x + -11
(12 + 15x) = 12x + -11

Reorder the terms:
12 + 15x = -11 + 12x

Solving
12 + 15x = -11 + 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.
12 + 15x + -12x = -11 + 12x + -12x

Combine like terms: 15x + -12x = 3x
12 + 3x = -11 + 12x + -12x

Combine like terms: 12x + -12x = 0
12 + 3x = -11 + 0
12 + 3x = -11

Add '-12' to each side of the equation.
12 + -12 + 3x = -11 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = -11 + -12
3x = -11 + -12

Combine like terms: -11 + -12 = -23
3x = -23

Divide each side by '3'.
x = -7.666666667

Simplifying
x = -7.666666667

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