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

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


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

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

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

Combine like terms: -30 + -6 = -36
-36 + 6x + 3x = 10

Combine like terms: 6x + 3x = 9x
-36 + 9x = 10

Solving
-36 + 9x = 10

Solving for variable 'x'.

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

Add '36' to each side of the equation.
-36 + 36 + 9x = 10 + 36

Combine like terms: -36 + 36 = 0
0 + 9x = 10 + 36
9x = 10 + 36

Combine like terms: 10 + 36 = 46
9x = 46

Divide each side by '9'.
x = 5.111111111

Simplifying
x = 5.111111111

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