(6x-3)-1=(15x-10)+3

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Solution for (6x-3)-1=(15x-10)+3 equation:


Simplifying
(6x + -3) + -1 = (15x + -10) + 3

Reorder the terms:
(-3 + 6x) + -1 = (15x + -10) + 3

Remove parenthesis around (-3 + 6x)
-3 + 6x + -1 = (15x + -10) + 3

Reorder the terms:
-3 + -1 + 6x = (15x + -10) + 3

Combine like terms: -3 + -1 = -4
-4 + 6x = (15x + -10) + 3

Reorder the terms:
-4 + 6x = (-10 + 15x) + 3

Remove parenthesis around (-10 + 15x)
-4 + 6x = -10 + 15x + 3

Reorder the terms:
-4 + 6x = -10 + 3 + 15x

Combine like terms: -10 + 3 = -7
-4 + 6x = -7 + 15x

Solving
-4 + 6x = -7 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-4 + 6x + -15x = -7 + 15x + -15x

Combine like terms: 6x + -15x = -9x
-4 + -9x = -7 + 15x + -15x

Combine like terms: 15x + -15x = 0
-4 + -9x = -7 + 0
-4 + -9x = -7

Add '4' to each side of the equation.
-4 + 4 + -9x = -7 + 4

Combine like terms: -4 + 4 = 0
0 + -9x = -7 + 4
-9x = -7 + 4

Combine like terms: -7 + 4 = -3
-9x = -3

Divide each side by '-9'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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