7-3(x-5)=25+(x-7)

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Solution for 7-3(x-5)=25+(x-7) equation:


Simplifying
7 + -3(x + -5) = 25 + (x + -7)

Reorder the terms:
7 + -3(-5 + x) = 25 + (x + -7)
7 + (-5 * -3 + x * -3) = 25 + (x + -7)
7 + (15 + -3x) = 25 + (x + -7)

Combine like terms: 7 + 15 = 22
22 + -3x = 25 + (x + -7)

Reorder the terms:
22 + -3x = 25 + (-7 + x)

Remove parenthesis around (-7 + x)
22 + -3x = 25 + -7 + x

Combine like terms: 25 + -7 = 18
22 + -3x = 18 + x

Solving
22 + -3x = 18 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
22 + -3x + -1x = 18 + x + -1x

Combine like terms: -3x + -1x = -4x
22 + -4x = 18 + x + -1x

Combine like terms: x + -1x = 0
22 + -4x = 18 + 0
22 + -4x = 18

Add '-22' to each side of the equation.
22 + -22 + -4x = 18 + -22

Combine like terms: 22 + -22 = 0
0 + -4x = 18 + -22
-4x = 18 + -22

Combine like terms: 18 + -22 = -4
-4x = -4

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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