(6x-1)-(10x-15)=0

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Solution for (6x-1)-(10x-15)=0 equation:


Simplifying
(6x + -1) + -1(10x + -15) = 0

Reorder the terms:
(-1 + 6x) + -1(10x + -15) = 0

Remove parenthesis around (-1 + 6x)
-1 + 6x + -1(10x + -15) = 0

Reorder the terms:
-1 + 6x + -1(-15 + 10x) = 0
-1 + 6x + (-15 * -1 + 10x * -1) = 0
-1 + 6x + (15 + -10x) = 0

Reorder the terms:
-1 + 15 + 6x + -10x = 0

Combine like terms: -1 + 15 = 14
14 + 6x + -10x = 0

Combine like terms: 6x + -10x = -4x
14 + -4x = 0

Solving
14 + -4x = 0

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + -4x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -4x = 0 + -14
-4x = 0 + -14

Combine like terms: 0 + -14 = -14
-4x = -14

Divide each side by '-4'.
x = 3.5

Simplifying
x = 3.5

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