3x-13=5(x-3)+12x

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Solution for 3x-13=5(x-3)+12x equation:


Simplifying
3x + -13 = 5(x + -3) + 12x

Reorder the terms:
-13 + 3x = 5(x + -3) + 12x

Reorder the terms:
-13 + 3x = 5(-3 + x) + 12x
-13 + 3x = (-3 * 5 + x * 5) + 12x
-13 + 3x = (-15 + 5x) + 12x

Combine like terms: 5x + 12x = 17x
-13 + 3x = -15 + 17x

Solving
-13 + 3x = -15 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
-13 + 3x + -17x = -15 + 17x + -17x

Combine like terms: 3x + -17x = -14x
-13 + -14x = -15 + 17x + -17x

Combine like terms: 17x + -17x = 0
-13 + -14x = -15 + 0
-13 + -14x = -15

Add '13' to each side of the equation.
-13 + 13 + -14x = -15 + 13

Combine like terms: -13 + 13 = 0
0 + -14x = -15 + 13
-14x = -15 + 13

Combine like terms: -15 + 13 = -2
-14x = -2

Divide each side by '-14'.
x = 0.1428571429

Simplifying
x = 0.1428571429

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