3x+6=19x-15

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Solution for 3x+6=19x-15 equation:


Simplifying
3x + 6 = 19x + -15

Reorder the terms:
6 + 3x = 19x + -15

Reorder the terms:
6 + 3x = -15 + 19x

Solving
6 + 3x = -15 + 19x

Solving for variable 'x'.

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

Add '-19x' to each side of the equation.
6 + 3x + -19x = -15 + 19x + -19x

Combine like terms: 3x + -19x = -16x
6 + -16x = -15 + 19x + -19x

Combine like terms: 19x + -19x = 0
6 + -16x = -15 + 0
6 + -16x = -15

Add '-6' to each side of the equation.
6 + -6 + -16x = -15 + -6

Combine like terms: 6 + -6 = 0
0 + -16x = -15 + -6
-16x = -15 + -6

Combine like terms: -15 + -6 = -21
-16x = -21

Divide each side by '-16'.
x = 1.3125

Simplifying
x = 1.3125

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