3(x+5)=5x+4x-15

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Solution for 3(x+5)=5x+4x-15 equation:


Simplifying
3(x + 5) = 5x + 4x + -15

Reorder the terms:
3(5 + x) = 5x + 4x + -15
(5 * 3 + x * 3) = 5x + 4x + -15
(15 + 3x) = 5x + 4x + -15

Reorder the terms:
15 + 3x = -15 + 5x + 4x

Combine like terms: 5x + 4x = 9x
15 + 3x = -15 + 9x

Solving
15 + 3x = -15 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
15 + 3x + -9x = -15 + 9x + -9x

Combine like terms: 3x + -9x = -6x
15 + -6x = -15 + 9x + -9x

Combine like terms: 9x + -9x = 0
15 + -6x = -15 + 0
15 + -6x = -15

Add '-15' to each side of the equation.
15 + -15 + -6x = -15 + -15

Combine like terms: 15 + -15 = 0
0 + -6x = -15 + -15
-6x = -15 + -15

Combine like terms: -15 + -15 = -30
-6x = -30

Divide each side by '-6'.
x = 5

Simplifying
x = 5

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