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

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


Simplifying
5(x + 3) + -1(3x + -5) = 0

Reorder the terms:
5(3 + x) + -1(3x + -5) = 0
(3 * 5 + x * 5) + -1(3x + -5) = 0
(15 + 5x) + -1(3x + -5) = 0

Reorder the terms:
15 + 5x + -1(-5 + 3x) = 0
15 + 5x + (-5 * -1 + 3x * -1) = 0
15 + 5x + (5 + -3x) = 0

Reorder the terms:
15 + 5 + 5x + -3x = 0

Combine like terms: 15 + 5 = 20
20 + 5x + -3x = 0

Combine like terms: 5x + -3x = 2x
20 + 2x = 0

Solving
20 + 2x = 0

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + 2x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 2x = 0 + -20
2x = 0 + -20

Combine like terms: 0 + -20 = -20
2x = -20

Divide each side by '2'.
x = -10

Simplifying
x = -10

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