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

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


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

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

Combine like terms: 2 + -15 = -13
-13 + -3x = 5x + -5

Reorder the terms:
-13 + -3x = -5 + 5x

Solving
-13 + -3x = -5 + 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.
-13 + -3x + -5x = -5 + 5x + -5x

Combine like terms: -3x + -5x = -8x
-13 + -8x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
-13 + -8x = -5 + 0
-13 + -8x = -5

Add '13' to each side of the equation.
-13 + 13 + -8x = -5 + 13

Combine like terms: -13 + 13 = 0
0 + -8x = -5 + 13
-8x = -5 + 13

Combine like terms: -5 + 13 = 8
-8x = 8

Divide each side by '-8'.
x = -1

Simplifying
x = -1

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