7(x+7)=6x-3

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


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

Reorder the terms:
7(7 + x) = 6x + -3
(7 * 7 + x * 7) = 6x + -3
(49 + 7x) = 6x + -3

Reorder the terms:
49 + 7x = -3 + 6x

Solving
49 + 7x = -3 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
49 + 7x + -6x = -3 + 6x + -6x

Combine like terms: 7x + -6x = 1x
49 + 1x = -3 + 6x + -6x

Combine like terms: 6x + -6x = 0
49 + 1x = -3 + 0
49 + 1x = -3

Add '-49' to each side of the equation.
49 + -49 + 1x = -3 + -49

Combine like terms: 49 + -49 = 0
0 + 1x = -3 + -49
1x = -3 + -49

Combine like terms: -3 + -49 = -52
1x = -52

Divide each side by '1'.
x = -52

Simplifying
x = -52

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