10(x-3)=6x+6

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


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

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

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

Solving
-30 + 10x = 6 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-30 + 10x + -6x = 6 + 6x + -6x

Combine like terms: 10x + -6x = 4x
-30 + 4x = 6 + 6x + -6x

Combine like terms: 6x + -6x = 0
-30 + 4x = 6 + 0
-30 + 4x = 6

Add '30' to each side of the equation.
-30 + 30 + 4x = 6 + 30

Combine like terms: -30 + 30 = 0
0 + 4x = 6 + 30
4x = 6 + 30

Combine like terms: 6 + 30 = 36
4x = 36

Divide each side by '4'.
x = 9

Simplifying
x = 9

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