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

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


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

Reorder the terms:
-3(-2 + x) + -5 = 12x + -4
(-2 * -3 + x * -3) + -5 = 12x + -4
(6 + -3x) + -5 = 12x + -4

Reorder the terms:
6 + -5 + -3x = 12x + -4

Combine like terms: 6 + -5 = 1
1 + -3x = 12x + -4

Reorder the terms:
1 + -3x = -4 + 12x

Solving
1 + -3x = -4 + 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.
1 + -3x + -12x = -4 + 12x + -12x

Combine like terms: -3x + -12x = -15x
1 + -15x = -4 + 12x + -12x

Combine like terms: 12x + -12x = 0
1 + -15x = -4 + 0
1 + -15x = -4

Add '-1' to each side of the equation.
1 + -1 + -15x = -4 + -1

Combine like terms: 1 + -1 = 0
0 + -15x = -4 + -1
-15x = -4 + -1

Combine like terms: -4 + -1 = -5
-15x = -5

Divide each side by '-15'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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