5(x-6)=3x-19

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Solution for 5(x-6)=3x-19 equation:


Simplifying
5(x + -6) = 3x + -19

Reorder the terms:
5(-6 + x) = 3x + -19
(-6 * 5 + x * 5) = 3x + -19
(-30 + 5x) = 3x + -19

Reorder the terms:
-30 + 5x = -19 + 3x

Solving
-30 + 5x = -19 + 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.
-30 + 5x + -3x = -19 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-30 + 2x = -19 + 3x + -3x

Combine like terms: 3x + -3x = 0
-30 + 2x = -19 + 0
-30 + 2x = -19

Add '30' to each side of the equation.
-30 + 30 + 2x = -19 + 30

Combine like terms: -30 + 30 = 0
0 + 2x = -19 + 30
2x = -19 + 30

Combine like terms: -19 + 30 = 11
2x = 11

Divide each side by '2'.
x = 5.5

Simplifying
x = 5.5

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