7(x+4)-7=75-2x

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Solution for 7(x+4)-7=75-2x equation:


Simplifying
7(x + 4) + -7 = 75 + -2x

Reorder the terms:
7(4 + x) + -7 = 75 + -2x
(4 * 7 + x * 7) + -7 = 75 + -2x
(28 + 7x) + -7 = 75 + -2x

Reorder the terms:
28 + -7 + 7x = 75 + -2x

Combine like terms: 28 + -7 = 21
21 + 7x = 75 + -2x

Solving
21 + 7x = 75 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
21 + 7x + 2x = 75 + -2x + 2x

Combine like terms: 7x + 2x = 9x
21 + 9x = 75 + -2x + 2x

Combine like terms: -2x + 2x = 0
21 + 9x = 75 + 0
21 + 9x = 75

Add '-21' to each side of the equation.
21 + -21 + 9x = 75 + -21

Combine like terms: 21 + -21 = 0
0 + 9x = 75 + -21
9x = 75 + -21

Combine like terms: 75 + -21 = 54
9x = 54

Divide each side by '9'.
x = 6

Simplifying
x = 6

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