6x=7(x+3)

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


Simplifying
6x = 7(x + 3)

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

Solving
6x = 21 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
6x + -7x = 21 + 7x + -7x

Combine like terms: 6x + -7x = -1x
-1x = 21 + 7x + -7x

Combine like terms: 7x + -7x = 0
-1x = 21 + 0
-1x = 21

Divide each side by '-1'.
x = -21

Simplifying
x = -21

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