3(x-5)+5x=x+6

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Solution for 3(x-5)+5x=x+6 equation:


Simplifying
3(x + -5) + 5x = x + 6

Reorder the terms:
3(-5 + x) + 5x = x + 6
(-5 * 3 + x * 3) + 5x = x + 6
(-15 + 3x) + 5x = x + 6

Combine like terms: 3x + 5x = 8x
-15 + 8x = x + 6

Reorder the terms:
-15 + 8x = 6 + x

Solving
-15 + 8x = 6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-15 + 8x + -1x = 6 + x + -1x

Combine like terms: 8x + -1x = 7x
-15 + 7x = 6 + x + -1x

Combine like terms: x + -1x = 0
-15 + 7x = 6 + 0
-15 + 7x = 6

Add '15' to each side of the equation.
-15 + 15 + 7x = 6 + 15

Combine like terms: -15 + 15 = 0
0 + 7x = 6 + 15
7x = 6 + 15

Combine like terms: 6 + 15 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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