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

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


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

Reorder the terms:
5x + -3(-5 + x) = -2 + 5x + 5
5x + (-5 * -3 + x * -3) = -2 + 5x + 5
5x + (15 + -3x) = -2 + 5x + 5

Reorder the terms:
15 + 5x + -3x = -2 + 5x + 5

Combine like terms: 5x + -3x = 2x
15 + 2x = -2 + 5x + 5

Reorder the terms:
15 + 2x = -2 + 5 + 5x

Combine like terms: -2 + 5 = 3
15 + 2x = 3 + 5x

Solving
15 + 2x = 3 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
15 + 2x + -5x = 3 + 5x + -5x

Combine like terms: 2x + -5x = -3x
15 + -3x = 3 + 5x + -5x

Combine like terms: 5x + -5x = 0
15 + -3x = 3 + 0
15 + -3x = 3

Add '-15' to each side of the equation.
15 + -15 + -3x = 3 + -15

Combine like terms: 15 + -15 = 0
0 + -3x = 3 + -15
-3x = 3 + -15

Combine like terms: 3 + -15 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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