7x-3(x-1)=8x+25-3x

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Solution for 7x-3(x-1)=8x+25-3x equation:


Simplifying
7x + -3(x + -1) = 8x + 25 + -3x

Reorder the terms:
7x + -3(-1 + x) = 8x + 25 + -3x
7x + (-1 * -3 + x * -3) = 8x + 25 + -3x
7x + (3 + -3x) = 8x + 25 + -3x

Reorder the terms:
3 + 7x + -3x = 8x + 25 + -3x

Combine like terms: 7x + -3x = 4x
3 + 4x = 8x + 25 + -3x

Reorder the terms:
3 + 4x = 25 + 8x + -3x

Combine like terms: 8x + -3x = 5x
3 + 4x = 25 + 5x

Solving
3 + 4x = 25 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
3 + 4x + -5x = 25 + 5x + -5x

Combine like terms: 4x + -5x = -1x
3 + -1x = 25 + 5x + -5x

Combine like terms: 5x + -5x = 0
3 + -1x = 25 + 0
3 + -1x = 25

Add '-3' to each side of the equation.
3 + -3 + -1x = 25 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 25 + -3
-1x = 25 + -3

Combine like terms: 25 + -3 = 22
-1x = 22

Divide each side by '-1'.
x = -22

Simplifying
x = -22

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