2(3x-5)=3x+10

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Solution for 2(3x-5)=3x+10 equation:


Simplifying
2(3x + -5) = 3x + 10

Reorder the terms:
2(-5 + 3x) = 3x + 10
(-5 * 2 + 3x * 2) = 3x + 10
(-10 + 6x) = 3x + 10

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

Solving
-10 + 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.
-10 + 6x + -3x = 10 + 3x + -3x

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

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

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

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

Combine like terms: 10 + 10 = 20
3x = 20

Divide each side by '3'.
x = 6.666666667

Simplifying
x = 6.666666667

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