10(x-3)=4x+6

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Solution for 10(x-3)=4x+6 equation:


Simplifying
10(x + -3) = 4x + 6

Reorder the terms:
10(-3 + x) = 4x + 6
(-3 * 10 + x * 10) = 4x + 6
(-30 + 10x) = 4x + 6

Reorder the terms:
-30 + 10x = 6 + 4x

Solving
-30 + 10x = 6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-30 + 10x + -4x = 6 + 4x + -4x

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

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

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

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

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

Divide each side by '6'.
x = 6

Simplifying
x = 6

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