(7+2x)=30+7(x-1)

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Solution for (7+2x)=30+7(x-1) equation:


Simplifying
(7 + 2x) = 30 + 7(x + -1)

Remove parenthesis around (7 + 2x)
7 + 2x = 30 + 7(x + -1)

Reorder the terms:
7 + 2x = 30 + 7(-1 + x)
7 + 2x = 30 + (-1 * 7 + x * 7)
7 + 2x = 30 + (-7 + 7x)

Combine like terms: 30 + -7 = 23
7 + 2x = 23 + 7x

Solving
7 + 2x = 23 + 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.
7 + 2x + -7x = 23 + 7x + -7x

Combine like terms: 2x + -7x = -5x
7 + -5x = 23 + 7x + -7x

Combine like terms: 7x + -7x = 0
7 + -5x = 23 + 0
7 + -5x = 23

Add '-7' to each side of the equation.
7 + -7 + -5x = 23 + -7

Combine like terms: 7 + -7 = 0
0 + -5x = 23 + -7
-5x = 23 + -7

Combine like terms: 23 + -7 = 16
-5x = 16

Divide each side by '-5'.
x = -3.2

Simplifying
x = -3.2

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