3x-5(x-5)=-7+4x+8

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Solution for 3x-5(x-5)=-7+4x+8 equation: 


Simplifying
3x + -5(x + -5) = -7 + 4x + 8

Reorder the terms:
3x + -5(-5 + x) = -7 + 4x + 8
3x + (-5 * -5 + x * -5) = -7 + 4x + 8
3x + (25 + -5x) = -7 + 4x + 8

Reorder the terms:
25 + 3x + -5x = -7 + 4x + 8

Combine like terms: 3x + -5x = -2x
25 + -2x = -7 + 4x + 8

Reorder the terms:
25 + -2x = -7 + 8 + 4x

Combine like terms: -7 + 8 = 1
25 + -2x = 1 + 4x

Solving
25 + -2x = 1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
25 + -2x + -4x = 1 + 4x + -4x

Combine like terms: -2x + -4x = -6x
25 + -6x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
25 + -6x = 1 + 0
25 + -6x = 1

Add '-25' to each side of the equation.
25 + -25 + -6x = 1 + -25

Combine like terms: 25 + -25 = 0
0 + -6x = 1 + -25
-6x = 1 + -25

Combine like terms: 1 + -25 = -24
-6x = -24

Divide each side by '-6'.
x = 4

Simplifying
x = 4

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