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

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


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

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

Combine like terms: 5 + -15 = -10
-10 + -3x = 5x + -2

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

Solving
-10 + -3x = -2 + 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.
-10 + -3x + -5x = -2 + 5x + -5x

Combine like terms: -3x + -5x = -8x
-10 + -8x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
-10 + -8x = -2 + 0
-10 + -8x = -2

Add '10' to each side of the equation.
-10 + 10 + -8x = -2 + 10

Combine like terms: -10 + 10 = 0
0 + -8x = -2 + 10
-8x = -2 + 10

Combine like terms: -2 + 10 = 8
-8x = 8

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

Simplifying
x = -1

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