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

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


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

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

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

Combine like terms: 2x + 2x = 4x
-10 + 4x = 3x + -5

Reorder the terms:
-10 + 4x = -5 + 3x

Solving
-10 + 4x = -5 + 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 + 4x + -3x = -5 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-10 + 1x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + 1x = -5 + 0
-10 + 1x = -5

Add '10' to each side of the equation.
-10 + 10 + 1x = -5 + 10

Combine like terms: -10 + 10 = 0
0 + 1x = -5 + 10
1x = -5 + 10

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

Divide each side by '1'.
x = 5

Simplifying
x = 5

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