25-(x-8)=7x-7

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Solution for 25-(x-8)=7x-7 equation:


Simplifying
25 + -1(x + -8) = 7x + -7

Reorder the terms:
25 + -1(-8 + x) = 7x + -7
25 + (-8 * -1 + x * -1) = 7x + -7
25 + (8 + -1x) = 7x + -7

Combine like terms: 25 + 8 = 33
33 + -1x = 7x + -7

Reorder the terms:
33 + -1x = -7 + 7x

Solving
33 + -1x = -7 + 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.
33 + -1x + -7x = -7 + 7x + -7x

Combine like terms: -1x + -7x = -8x
33 + -8x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
33 + -8x = -7 + 0
33 + -8x = -7

Add '-33' to each side of the equation.
33 + -33 + -8x = -7 + -33

Combine like terms: 33 + -33 = 0
0 + -8x = -7 + -33
-8x = -7 + -33

Combine like terms: -7 + -33 = -40
-8x = -40

Divide each side by '-8'.
x = 5

Simplifying
x = 5

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