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

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


Simplifying
3(x + 5) + -8(x + -3) = 30

Reorder the terms:
3(5 + x) + -8(x + -3) = 30
(5 * 3 + x * 3) + -8(x + -3) = 30
(15 + 3x) + -8(x + -3) = 30

Reorder the terms:
15 + 3x + -8(-3 + x) = 30
15 + 3x + (-3 * -8 + x * -8) = 30
15 + 3x + (24 + -8x) = 30

Reorder the terms:
15 + 24 + 3x + -8x = 30

Combine like terms: 15 + 24 = 39
39 + 3x + -8x = 30

Combine like terms: 3x + -8x = -5x
39 + -5x = 30

Solving
39 + -5x = 30

Solving for variable 'x'.

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

Add '-39' to each side of the equation.
39 + -39 + -5x = 30 + -39

Combine like terms: 39 + -39 = 0
0 + -5x = 30 + -39
-5x = 30 + -39

Combine like terms: 30 + -39 = -9
-5x = -9

Divide each side by '-5'.
x = 1.8

Simplifying
x = 1.8

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