28(x+1)=7(x-23)

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Solution for 28(x+1)=7(x-23) equation:


Simplifying
28(x + 1) = 7(x + -23)

Reorder the terms:
28(1 + x) = 7(x + -23)
(1 * 28 + x * 28) = 7(x + -23)
(28 + 28x) = 7(x + -23)

Reorder the terms:
28 + 28x = 7(-23 + x)
28 + 28x = (-23 * 7 + x * 7)
28 + 28x = (-161 + 7x)

Solving
28 + 28x = -161 + 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.
28 + 28x + -7x = -161 + 7x + -7x

Combine like terms: 28x + -7x = 21x
28 + 21x = -161 + 7x + -7x

Combine like terms: 7x + -7x = 0
28 + 21x = -161 + 0
28 + 21x = -161

Add '-28' to each side of the equation.
28 + -28 + 21x = -161 + -28

Combine like terms: 28 + -28 = 0
0 + 21x = -161 + -28
21x = -161 + -28

Combine like terms: -161 + -28 = -189
21x = -189

Divide each side by '21'.
x = -9

Simplifying
x = -9

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