3x-5(x-5)=-7+2x+4

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Solution for 3x-5(x-5)=-7+2x+4 equation:


Simplifying
3x + -5(x + -5) = -7 + 2x + 4

Reorder the terms:
3x + -5(-5 + x) = -7 + 2x + 4
3x + (-5 * -5 + x * -5) = -7 + 2x + 4
3x + (25 + -5x) = -7 + 2x + 4

Reorder the terms:
25 + 3x + -5x = -7 + 2x + 4

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

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

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

Solving
25 + -2x = -3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
25 + -2x + -2x = -3 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
25 + -4x = -3 + 0
25 + -4x = -3

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

Combine like terms: 25 + -25 = 0
0 + -4x = -3 + -25
-4x = -3 + -25

Combine like terms: -3 + -25 = -28
-4x = -28

Divide each side by '-4'.
x = 7

Simplifying
x = 7

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