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

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


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

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

Combine like terms: 3x + 2x = 5x
-10 + 5x = -3(x + -10) + 3x

Reorder the terms:
-10 + 5x = -3(-10 + x) + 3x
-10 + 5x = (-10 * -3 + x * -3) + 3x
-10 + 5x = (30 + -3x) + 3x

Combine like terms: -3x + 3x = 0
-10 + 5x = 30 + 0
-10 + 5x = 30

Solving
-10 + 5x = 30

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 5x = 30 + 10

Combine like terms: -10 + 10 = 0
0 + 5x = 30 + 10
5x = 30 + 10

Combine like terms: 30 + 10 = 40
5x = 40

Divide each side by '5'.
x = 8

Simplifying
x = 8

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