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

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


Simplifying
2(3x + -5) + -1x = 10 + -3x

Reorder the terms:
2(-5 + 3x) + -1x = 10 + -3x
(-5 * 2 + 3x * 2) + -1x = 10 + -3x
(-10 + 6x) + -1x = 10 + -3x

Combine like terms: 6x + -1x = 5x
-10 + 5x = 10 + -3x

Solving
-10 + 5x = 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 + 5x + 3x = 10 + -3x + 3x

Combine like terms: 5x + 3x = 8x
-10 + 8x = 10 + -3x + 3x

Combine like terms: -3x + 3x = 0
-10 + 8x = 10 + 0
-10 + 8x = 10

Add '10' to each side of the equation.
-10 + 10 + 8x = 10 + 10

Combine like terms: -10 + 10 = 0
0 + 8x = 10 + 10
8x = 10 + 10

Combine like terms: 10 + 10 = 20
8x = 20

Divide each side by '8'.
x = 2.5

Simplifying
x = 2.5

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