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

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


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

Reorder the terms:
3x + 2 + 5(-3 + 4x) = 12x
3x + 2 + (-3 * 5 + 4x * 5) = 12x
3x + 2 + (-15 + 20x) = 12x

Reorder the terms:
2 + -15 + 3x + 20x = 12x

Combine like terms: 2 + -15 = -13
-13 + 3x + 20x = 12x

Combine like terms: 3x + 20x = 23x
-13 + 23x = 12x

Solving
-13 + 23x = 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.
-13 + 23x + -12x = 12x + -12x

Combine like terms: 23x + -12x = 11x
-13 + 11x = 12x + -12x

Combine like terms: 12x + -12x = 0
-13 + 11x = 0

Add '13' to each side of the equation.
-13 + 13 + 11x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 11x = 0 + 13
11x = 0 + 13

Combine like terms: 0 + 13 = 13
11x = 13

Divide each side by '11'.
x = 1.181818182

Simplifying
x = 1.181818182

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