6=2x+7(x-3)

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Solution for 6=2x+7(x-3) equation:


Simplifying
6 = 2x + 7(x + -3)

Reorder the terms:
6 = 2x + 7(-3 + x)
6 = 2x + (-3 * 7 + x * 7)
6 = 2x + (-21 + 7x)

Reorder the terms:
6 = -21 + 2x + 7x

Combine like terms: 2x + 7x = 9x
6 = -21 + 9x

Solving
6 = -21 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
6 + -9x = -21 + 9x + -9x

Combine like terms: 9x + -9x = 0
6 + -9x = -21 + 0
6 + -9x = -21

Add '-6' to each side of the equation.
6 + -6 + -9x = -21 + -6

Combine like terms: 6 + -6 = 0
0 + -9x = -21 + -6
-9x = -21 + -6

Combine like terms: -21 + -6 = -27
-9x = -27

Divide each side by '-9'.
x = 3

Simplifying
x = 3

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