(3x+14)=(19x-35)

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Solution for (3x+14)=(19x-35) equation:


Simplifying
(3x + 14) = (19x + -35)

Reorder the terms:
(14 + 3x) = (19x + -35)

Remove parenthesis around (14 + 3x)
14 + 3x = (19x + -35)

Reorder the terms:
14 + 3x = (-35 + 19x)

Remove parenthesis around (-35 + 19x)
14 + 3x = -35 + 19x

Solving
14 + 3x = -35 + 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.
14 + 3x + -19x = -35 + 19x + -19x

Combine like terms: 3x + -19x = -16x
14 + -16x = -35 + 19x + -19x

Combine like terms: 19x + -19x = 0
14 + -16x = -35 + 0
14 + -16x = -35

Add '-14' to each side of the equation.
14 + -14 + -16x = -35 + -14

Combine like terms: 14 + -14 = 0
0 + -16x = -35 + -14
-16x = -35 + -14

Combine like terms: -35 + -14 = -49
-16x = -49

Divide each side by '-16'.
x = 3.0625

Simplifying
x = 3.0625

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