5(3x+2)+4=12x-1

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Solution for 5(3x+2)+4=12x-1 equation:


Simplifying
5(3x + 2) + 4 = 12x + -1

Reorder the terms:
5(2 + 3x) + 4 = 12x + -1
(2 * 5 + 3x * 5) + 4 = 12x + -1
(10 + 15x) + 4 = 12x + -1

Reorder the terms:
10 + 4 + 15x = 12x + -1

Combine like terms: 10 + 4 = 14
14 + 15x = 12x + -1

Reorder the terms:
14 + 15x = -1 + 12x

Solving
14 + 15x = -1 + 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.
14 + 15x + -12x = -1 + 12x + -12x

Combine like terms: 15x + -12x = 3x
14 + 3x = -1 + 12x + -12x

Combine like terms: 12x + -12x = 0
14 + 3x = -1 + 0
14 + 3x = -1

Add '-14' to each side of the equation.
14 + -14 + 3x = -1 + -14

Combine like terms: 14 + -14 = 0
0 + 3x = -1 + -14
3x = -1 + -14

Combine like terms: -1 + -14 = -15
3x = -15

Divide each side by '3'.
x = -5

Simplifying
x = -5

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