3(x-1)+5x=6x-15

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Solution for 3(x-1)+5x=6x-15 equation:


Simplifying
3(x + -1) + 5x = 6x + -15

Reorder the terms:
3(-1 + x) + 5x = 6x + -15
(-1 * 3 + x * 3) + 5x = 6x + -15
(-3 + 3x) + 5x = 6x + -15

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

Reorder the terms:
-3 + 8x = -15 + 6x

Solving
-3 + 8x = -15 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-3 + 8x + -6x = -15 + 6x + -6x

Combine like terms: 8x + -6x = 2x
-3 + 2x = -15 + 6x + -6x

Combine like terms: 6x + -6x = 0
-3 + 2x = -15 + 0
-3 + 2x = -15

Add '3' to each side of the equation.
-3 + 3 + 2x = -15 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = -15 + 3
2x = -15 + 3

Combine like terms: -15 + 3 = -12
2x = -12

Divide each side by '2'.
x = -6

Simplifying
x = -6

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