30-(2x+8)=19-3(x+5)

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Solution for 30-(2x+8)=19-3(x+5) equation: 


Simplifying
30 + -1(2x + 8) = 19 + -3(x + 5)

Reorder the terms:
30 + -1(8 + 2x) = 19 + -3(x + 5)
30 + (8 * -1 + 2x * -1) = 19 + -3(x + 5)
30 + (-8 + -2x) = 19 + -3(x + 5)

Combine like terms: 30 + -8 = 22
22 + -2x = 19 + -3(x + 5)

Reorder the terms:
22 + -2x = 19 + -3(5 + x)
22 + -2x = 19 + (5 * -3 + x * -3)
22 + -2x = 19 + (-15 + -3x)

Combine like terms: 19 + -15 = 4
22 + -2x = 4 + -3x

Solving
22 + -2x = 4 + -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.
22 + -2x + 3x = 4 + -3x + 3x

Combine like terms: -2x + 3x = 1x
22 + 1x = 4 + -3x + 3x

Combine like terms: -3x + 3x = 0
22 + 1x = 4 + 0
22 + 1x = 4

Add '-22' to each side of the equation.
22 + -22 + 1x = 4 + -22

Combine like terms: 22 + -22 = 0
0 + 1x = 4 + -22
1x = 4 + -22

Combine like terms: 4 + -22 = -18
1x = -18

Divide each side by '1'.
x = -18

Simplifying
x = -18

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