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

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


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

Reorder the terms:
3(-5 + x) = 2x + 5 + 3x
(-5 * 3 + x * 3) = 2x + 5 + 3x
(-15 + 3x) = 2x + 5 + 3x

Reorder the terms:
-15 + 3x = 5 + 2x + 3x

Combine like terms: 2x + 3x = 5x
-15 + 3x = 5 + 5x

Solving
-15 + 3x = 5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-15 + 3x + -5x = 5 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-15 + -2x = 5 + 5x + -5x

Combine like terms: 5x + -5x = 0
-15 + -2x = 5 + 0
-15 + -2x = 5

Add '15' to each side of the equation.
-15 + 15 + -2x = 5 + 15

Combine like terms: -15 + 15 = 0
0 + -2x = 5 + 15
-2x = 5 + 15

Combine like terms: 5 + 15 = 20
-2x = 20

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

Simplifying
x = -10

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