2-5(x+5)=3(x-2)-1

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Solution for 2-5(x+5)=3(x-2)-1 equation:


Simplifying
2 + -5(x + 5) = 3(x + -2) + -1

Reorder the terms:
2 + -5(5 + x) = 3(x + -2) + -1
2 + (5 * -5 + x * -5) = 3(x + -2) + -1
2 + (-25 + -5x) = 3(x + -2) + -1

Combine like terms: 2 + -25 = -23
-23 + -5x = 3(x + -2) + -1

Reorder the terms:
-23 + -5x = 3(-2 + x) + -1
-23 + -5x = (-2 * 3 + x * 3) + -1
-23 + -5x = (-6 + 3x) + -1

Reorder the terms:
-23 + -5x = -6 + -1 + 3x

Combine like terms: -6 + -1 = -7
-23 + -5x = -7 + 3x

Solving
-23 + -5x = -7 + 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.
-23 + -5x + -3x = -7 + 3x + -3x

Combine like terms: -5x + -3x = -8x
-23 + -8x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-23 + -8x = -7 + 0
-23 + -8x = -7

Add '23' to each side of the equation.
-23 + 23 + -8x = -7 + 23

Combine like terms: -23 + 23 = 0
0 + -8x = -7 + 23
-8x = -7 + 23

Combine like terms: -7 + 23 = 16
-8x = 16

Divide each side by '-8'.
x = -2

Simplifying
x = -2

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