4x+15x+6=3x-14

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Solution for 4x+15x+6=3x-14 equation:


Simplifying
4x + 15x + 6 = 3x + -14

Reorder the terms:
6 + 4x + 15x = 3x + -14

Combine like terms: 4x + 15x = 19x
6 + 19x = 3x + -14

Reorder the terms:
6 + 19x = -14 + 3x

Solving
6 + 19x = -14 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
6 + 19x + -3x = -14 + 3x + -3x

Combine like terms: 19x + -3x = 16x
6 + 16x = -14 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + 16x = -14 + 0
6 + 16x = -14

Add '-6' to each side of the equation.
6 + -6 + 16x = -14 + -6

Combine like terms: 6 + -6 = 0
0 + 16x = -14 + -6
16x = -14 + -6

Combine like terms: -14 + -6 = -20
16x = -20

Divide each side by '16'.
x = -1.25

Simplifying
x = -1.25

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