(8x-3)+(x)=(10x+30)

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Solution for (8x-3)+(x)=(10x+30) equation:


Simplifying
(8x + -3) + (x) = (10x + 30)

Reorder the terms:
(-3 + 8x) + (x) = (10x + 30)

Remove parenthesis around (-3 + 8x)
-3 + 8x + (x) = (10x + 30)
-3 + 8x + x = (10x + 30)

Combine like terms: 8x + x = 9x
-3 + 9x = (10x + 30)

Reorder the terms:
-3 + 9x = (30 + 10x)

Remove parenthesis around (30 + 10x)
-3 + 9x = 30 + 10x

Solving
-3 + 9x = 30 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-3 + 9x + -10x = 30 + 10x + -10x

Combine like terms: 9x + -10x = -1x
-3 + -1x = 30 + 10x + -10x

Combine like terms: 10x + -10x = 0
-3 + -1x = 30 + 0
-3 + -1x = 30

Add '3' to each side of the equation.
-3 + 3 + -1x = 30 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 30 + 3
-1x = 30 + 3

Combine like terms: 30 + 3 = 33
-1x = 33

Divide each side by '-1'.
x = -33

Simplifying
x = -33

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