4x-5=19x+2

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Solution for 4x-5=19x+2 equation:


Simplifying
4x + -5 = 19x + 2

Reorder the terms:
-5 + 4x = 19x + 2

Reorder the terms:
-5 + 4x = 2 + 19x

Solving
-5 + 4x = 2 + 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.
-5 + 4x + -19x = 2 + 19x + -19x

Combine like terms: 4x + -19x = -15x
-5 + -15x = 2 + 19x + -19x

Combine like terms: 19x + -19x = 0
-5 + -15x = 2 + 0
-5 + -15x = 2

Add '5' to each side of the equation.
-5 + 5 + -15x = 2 + 5

Combine like terms: -5 + 5 = 0
0 + -15x = 2 + 5
-15x = 2 + 5

Combine like terms: 2 + 5 = 7
-15x = 7

Divide each side by '-15'.
x = -0.4666666667

Simplifying
x = -0.4666666667

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