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

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


Simplifying
3(x + -5) = 2 + 5(3 + -1x)

Reorder the terms:
3(-5 + x) = 2 + 5(3 + -1x)
(-5 * 3 + x * 3) = 2 + 5(3 + -1x)
(-15 + 3x) = 2 + 5(3 + -1x)
-15 + 3x = 2 + (3 * 5 + -1x * 5)
-15 + 3x = 2 + (15 + -5x)

Combine like terms: 2 + 15 = 17
-15 + 3x = 17 + -5x

Solving
-15 + 3x = 17 + -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 = 17 + -5x + 5x

Combine like terms: 3x + 5x = 8x
-15 + 8x = 17 + -5x + 5x

Combine like terms: -5x + 5x = 0
-15 + 8x = 17 + 0
-15 + 8x = 17

Add '15' to each side of the equation.
-15 + 15 + 8x = 17 + 15

Combine like terms: -15 + 15 = 0
0 + 8x = 17 + 15
8x = 17 + 15

Combine like terms: 17 + 15 = 32
8x = 32

Divide each side by '8'.
x = 4

Simplifying
x = 4

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