6(2-x)=3x+10

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Solution for 6(2-x)=3x+10 equation:


Simplifying
6(2 + -1x) = 3x + 10
(2 * 6 + -1x * 6) = 3x + 10
(12 + -6x) = 3x + 10

Reorder the terms:
12 + -6x = 10 + 3x

Solving
12 + -6x = 10 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
12 + -6x + -3x = 10 + 3x + -3x

Combine like terms: -6x + -3x = -9x
12 + -9x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + -9x = 10 + 0
12 + -9x = 10

Add '-12' to each side of the equation.
12 + -12 + -9x = 10 + -12

Combine like terms: 12 + -12 = 0
0 + -9x = 10 + -12
-9x = 10 + -12

Combine like terms: 10 + -12 = -2
-9x = -2

Divide each side by '-9'.
x = 0.2222222222

Simplifying
x = 0.2222222222

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