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

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


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

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

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

Combine like terms: 3x + -2x = 1x
10 + 1x = 3x + -10

Reorder the terms:
10 + 1x = -10 + 3x

Solving
10 + 1x = -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 + 1x + -3x = -10 + 3x + -3x

Combine like terms: 1x + -3x = -2x
10 + -2x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -2x = -10 + 0
10 + -2x = -10

Add '-10' to each side of the equation.
10 + -10 + -2x = -10 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = -10 + -10
-2x = -10 + -10

Combine like terms: -10 + -10 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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