3x-5=19(x-2)

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Solution for 3x-5=19(x-2) equation:


Simplifying
3x + -5 = 19(x + -2)

Reorder the terms:
-5 + 3x = 19(x + -2)

Reorder the terms:
-5 + 3x = 19(-2 + x)
-5 + 3x = (-2 * 19 + x * 19)
-5 + 3x = (-38 + 19x)

Solving
-5 + 3x = -38 + 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 + 3x + -19x = -38 + 19x + -19x

Combine like terms: 3x + -19x = -16x
-5 + -16x = -38 + 19x + -19x

Combine like terms: 19x + -19x = 0
-5 + -16x = -38 + 0
-5 + -16x = -38

Add '5' to each side of the equation.
-5 + 5 + -16x = -38 + 5

Combine like terms: -5 + 5 = 0
0 + -16x = -38 + 5
-16x = -38 + 5

Combine like terms: -38 + 5 = -33
-16x = -33

Divide each side by '-16'.
x = 2.0625

Simplifying
x = 2.0625

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