6x-15=3(x-7)

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Solution for 6x-15=3(x-7) equation:


Simplifying
6x + -15 = 3(x + -7)

Reorder the terms:
-15 + 6x = 3(x + -7)

Reorder the terms:
-15 + 6x = 3(-7 + x)
-15 + 6x = (-7 * 3 + x * 3)
-15 + 6x = (-21 + 3x)

Solving
-15 + 6x = -21 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-15 + 6x + -3x = -21 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-15 + 3x = -21 + 3x + -3x

Combine like terms: 3x + -3x = 0
-15 + 3x = -21 + 0
-15 + 3x = -21

Add '15' to each side of the equation.
-15 + 15 + 3x = -21 + 15

Combine like terms: -15 + 15 = 0
0 + 3x = -21 + 15
3x = -21 + 15

Combine like terms: -21 + 15 = -6
3x = -6

Divide each side by '3'.
x = -2

Simplifying
x = -2

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