-2-5(x+7)=-3(x-5)+3

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Solution for -2-5(x+7)=-3(x-5)+3 equation:


Simplifying
-2 + -5(x + 7) = -3(x + -5) + 3

Reorder the terms:
-2 + -5(7 + x) = -3(x + -5) + 3
-2 + (7 * -5 + x * -5) = -3(x + -5) + 3
-2 + (-35 + -5x) = -3(x + -5) + 3

Combine like terms: -2 + -35 = -37
-37 + -5x = -3(x + -5) + 3

Reorder the terms:
-37 + -5x = -3(-5 + x) + 3
-37 + -5x = (-5 * -3 + x * -3) + 3
-37 + -5x = (15 + -3x) + 3

Reorder the terms:
-37 + -5x = 15 + 3 + -3x

Combine like terms: 15 + 3 = 18
-37 + -5x = 18 + -3x

Solving
-37 + -5x = 18 + -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.
-37 + -5x + 3x = 18 + -3x + 3x

Combine like terms: -5x + 3x = -2x
-37 + -2x = 18 + -3x + 3x

Combine like terms: -3x + 3x = 0
-37 + -2x = 18 + 0
-37 + -2x = 18

Add '37' to each side of the equation.
-37 + 37 + -2x = 18 + 37

Combine like terms: -37 + 37 = 0
0 + -2x = 18 + 37
-2x = 18 + 37

Combine like terms: 18 + 37 = 55
-2x = 55

Divide each side by '-2'.
x = -27.5

Simplifying
x = -27.5

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