5(3x+5)=10-3(x-5)

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Solution for 5(3x+5)=10-3(x-5) equation:


Simplifying
5(3x + 5) = 10 + -3(x + -5)

Reorder the terms:
5(5 + 3x) = 10 + -3(x + -5)
(5 * 5 + 3x * 5) = 10 + -3(x + -5)
(25 + 15x) = 10 + -3(x + -5)

Reorder the terms:
25 + 15x = 10 + -3(-5 + x)
25 + 15x = 10 + (-5 * -3 + x * -3)
25 + 15x = 10 + (15 + -3x)

Combine like terms: 10 + 15 = 25
25 + 15x = 25 + -3x

Add '-25' to each side of the equation.
25 + -25 + 15x = 25 + -25 + -3x

Combine like terms: 25 + -25 = 0
0 + 15x = 25 + -25 + -3x
15x = 25 + -25 + -3x

Combine like terms: 25 + -25 = 0
15x = 0 + -3x
15x = -3x

Solving
15x = -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.
15x + 3x = -3x + 3x

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

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

Divide each side by '18'.
x = 0

Simplifying
x = 0

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