(3(10+x))-6=10+5x

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Solution for (3(10+x))-6=10+5x equation:


Simplifying
(3(10 + x)) + -6 = 10 + 5x
((10 * 3 + x * 3)) + -6 = 10 + 5x
((30 + 3x)) + -6 = 10 + 5x
(30 + 3x) + -6 = 10 + 5x

Remove parenthesis around (30 + 3x)
30 + 3x + -6 = 10 + 5x

Reorder the terms:
30 + -6 + 3x = 10 + 5x

Combine like terms: 30 + -6 = 24
24 + 3x = 10 + 5x

Solving
24 + 3x = 10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
24 + 3x + -5x = 10 + 5x + -5x

Combine like terms: 3x + -5x = -2x
24 + -2x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
24 + -2x = 10 + 0
24 + -2x = 10

Add '-24' to each side of the equation.
24 + -24 + -2x = 10 + -24

Combine like terms: 24 + -24 = 0
0 + -2x = 10 + -24
-2x = 10 + -24

Combine like terms: 10 + -24 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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