-3(2x+3)-19=10+5(x-3)

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Solution for -3(2x+3)-19=10+5(x-3) equation:


Simplifying
-3(2x + 3) + -19 = 10 + 5(x + -3)

Reorder the terms:
-3(3 + 2x) + -19 = 10 + 5(x + -3)
(3 * -3 + 2x * -3) + -19 = 10 + 5(x + -3)
(-9 + -6x) + -19 = 10 + 5(x + -3)

Reorder the terms:
-9 + -19 + -6x = 10 + 5(x + -3)

Combine like terms: -9 + -19 = -28
-28 + -6x = 10 + 5(x + -3)

Reorder the terms:
-28 + -6x = 10 + 5(-3 + x)
-28 + -6x = 10 + (-3 * 5 + x * 5)
-28 + -6x = 10 + (-15 + 5x)

Combine like terms: 10 + -15 = -5
-28 + -6x = -5 + 5x

Solving
-28 + -6x = -5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-28 + -6x + -5x = -5 + 5x + -5x

Combine like terms: -6x + -5x = -11x
-28 + -11x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
-28 + -11x = -5 + 0
-28 + -11x = -5

Add '28' to each side of the equation.
-28 + 28 + -11x = -5 + 28

Combine like terms: -28 + 28 = 0
0 + -11x = -5 + 28
-11x = -5 + 28

Combine like terms: -5 + 28 = 23
-11x = 23

Divide each side by '-11'.
x = -2.090909091

Simplifying
x = -2.090909091

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