2x+6=7(x+3)

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


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

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

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

Solving
6 + 2x = 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.
6 + 2x + -7x = 21 + 7x + -7x

Combine like terms: 2x + -7x = -5x
6 + -5x = 21 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + -5x = 21 + 0
6 + -5x = 21

Add '-6' to each side of the equation.
6 + -6 + -5x = 21 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 21 + -6
-5x = 21 + -6

Combine like terms: 21 + -6 = 15
-5x = 15

Divide each side by '-5'.
x = -3

Simplifying
x = -3

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