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

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


Simplifying
5(x + -2) = 19 + -1(3x + 5)

Reorder the terms:
5(-2 + x) = 19 + -1(3x + 5)
(-2 * 5 + x * 5) = 19 + -1(3x + 5)
(-10 + 5x) = 19 + -1(3x + 5)

Reorder the terms:
-10 + 5x = 19 + -1(5 + 3x)
-10 + 5x = 19 + (5 * -1 + 3x * -1)
-10 + 5x = 19 + (-5 + -3x)

Combine like terms: 19 + -5 = 14
-10 + 5x = 14 + -3x

Solving
-10 + 5x = 14 + -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.
-10 + 5x + 3x = 14 + -3x + 3x

Combine like terms: 5x + 3x = 8x
-10 + 8x = 14 + -3x + 3x

Combine like terms: -3x + 3x = 0
-10 + 8x = 14 + 0
-10 + 8x = 14

Add '10' to each side of the equation.
-10 + 10 + 8x = 14 + 10

Combine like terms: -10 + 10 = 0
0 + 8x = 14 + 10
8x = 14 + 10

Combine like terms: 14 + 10 = 24
8x = 24

Divide each side by '8'.
x = 3

Simplifying
x = 3

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