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

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


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

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

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

Reorder the terms:
-30 + 5x = 2(5 + x) + 8
-30 + 5x = (5 * 2 + x * 2) + 8
-30 + 5x = (10 + 2x) + 8

Reorder the terms:
-30 + 5x = 10 + 8 + 2x

Combine like terms: 10 + 8 = 18
-30 + 5x = 18 + 2x

Solving
-30 + 5x = 18 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-30 + 5x + -2x = 18 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-30 + 3x = 18 + 2x + -2x

Combine like terms: 2x + -2x = 0
-30 + 3x = 18 + 0
-30 + 3x = 18

Add '30' to each side of the equation.
-30 + 30 + 3x = 18 + 30

Combine like terms: -30 + 30 = 0
0 + 3x = 18 + 30
3x = 18 + 30

Combine like terms: 18 + 30 = 48
3x = 48

Divide each side by '3'.
x = 16

Simplifying
x = 16

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