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

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


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

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

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

Reorder the terms for easier multiplication:
-3 + 12x = 12 + 2(-5 + x)
-3 + 12x = 12 + (-5 * 2 + x * 2)
-3 + 12x = 12 + (-10 + 2x)

Combine like terms: 12 + -10 = 2
-3 + 12x = 2 + 2x

Solving
-3 + 12x = 2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-3 + 12x + -2x = 2 + 2x + -2x

Combine like terms: 12x + -2x = 10x
-3 + 10x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + 10x = 2 + 0
-3 + 10x = 2

Add '3' to each side of the equation.
-3 + 3 + 10x = 2 + 3

Combine like terms: -3 + 3 = 0
0 + 10x = 2 + 3
10x = 2 + 3

Combine like terms: 2 + 3 = 5
10x = 5

Divide each side by '10'.
x = 0.5

Simplifying
x = 0.5

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