25-(x-7)=7x-6

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Solution for 25-(x-7)=7x-6 equation:


Simplifying
25 + -1(x + -7) = 7x + -6

Reorder the terms:
25 + -1(-7 + x) = 7x + -6
25 + (-7 * -1 + x * -1) = 7x + -6
25 + (7 + -1x) = 7x + -6

Combine like terms: 25 + 7 = 32
32 + -1x = 7x + -6

Reorder the terms:
32 + -1x = -6 + 7x

Solving
32 + -1x = -6 + 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.
32 + -1x + -7x = -6 + 7x + -7x

Combine like terms: -1x + -7x = -8x
32 + -8x = -6 + 7x + -7x

Combine like terms: 7x + -7x = 0
32 + -8x = -6 + 0
32 + -8x = -6

Add '-32' to each side of the equation.
32 + -32 + -8x = -6 + -32

Combine like terms: 32 + -32 = 0
0 + -8x = -6 + -32
-8x = -6 + -32

Combine like terms: -6 + -32 = -38
-8x = -38

Divide each side by '-8'.
x = 4.75

Simplifying
x = 4.75

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