6x+19=14x+45

Solution for 6x+19=14x+45 equation:

Simplifying
6x + 19 = 14x + 45

Reorder the terms:
19 + 6x = 14x + 45

Reorder the terms:
19 + 6x = 45 + 14x

Solving
19 + 6x = 45 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
19 + 6x + -14x = 45 + 14x + -14x

Combine like terms: 6x + -14x = -8x
19 + -8x = 45 + 14x + -14x

Combine like terms: 14x + -14x = 0
19 + -8x = 45 + 0
19 + -8x = 45

Add '-19' to each side of the equation.
19 + -19 + -8x = 45 + -19

Combine like terms: 19 + -19 = 0
0 + -8x = 45 + -19
-8x = 45 + -19

Combine like terms: 45 + -19 = 26
-8x = 26

Divide each side by '-8'.
x = -3.25

Simplifying
x = -3.25