5(x-1)-3(x+1)=30

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Solution for 5(x-1)-3(x+1)=30 equation: 


Simplifying
5(x + -1) + -3(x + 1) = 30

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

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

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

Combine like terms: -5 + -3 = -8
-8 + 5x + -3x = 30

Combine like terms: 5x + -3x = 2x
-8 + 2x = 30

Solving
-8 + 2x = 30

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 2x = 30 + 8

Combine like terms: -8 + 8 = 0
0 + 2x = 30 + 8
2x = 30 + 8

Combine like terms: 30 + 8 = 38
2x = 38

Divide each side by '2'.
x = 19

Simplifying
x = 19

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