7(x+7)=6(2x+6)-15

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Solution for 7(x+7)=6(2x+6)-15 equation:


Simplifying
7(x + 7) = 6(2x + 6) + -15

Reorder the terms:
7(7 + x) = 6(2x + 6) + -15
(7 * 7 + x * 7) = 6(2x + 6) + -15
(49 + 7x) = 6(2x + 6) + -15

Reorder the terms:
49 + 7x = 6(6 + 2x) + -15
49 + 7x = (6 * 6 + 2x * 6) + -15
49 + 7x = (36 + 12x) + -15

Reorder the terms:
49 + 7x = 36 + -15 + 12x

Combine like terms: 36 + -15 = 21
49 + 7x = 21 + 12x

Solving
49 + 7x = 21 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
49 + 7x + -12x = 21 + 12x + -12x

Combine like terms: 7x + -12x = -5x
49 + -5x = 21 + 12x + -12x

Combine like terms: 12x + -12x = 0
49 + -5x = 21 + 0
49 + -5x = 21

Add '-49' to each side of the equation.
49 + -49 + -5x = 21 + -49

Combine like terms: 49 + -49 = 0
0 + -5x = 21 + -49
-5x = 21 + -49

Combine like terms: 21 + -49 = -28
-5x = -28

Divide each side by '-5'.
x = 5.6

Simplifying
x = 5.6

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