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

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


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

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

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

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

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

Combine like terms: -4 + -7 = -11
25 + -3x = -11 + 3x

Solving
25 + -3x = -11 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
25 + -3x + -3x = -11 + 3x + -3x

Combine like terms: -3x + -3x = -6x
25 + -6x = -11 + 3x + -3x

Combine like terms: 3x + -3x = 0
25 + -6x = -11 + 0
25 + -6x = -11

Add '-25' to each side of the equation.
25 + -25 + -6x = -11 + -25

Combine like terms: 25 + -25 = 0
0 + -6x = -11 + -25
-6x = -11 + -25

Combine like terms: -11 + -25 = -36
-6x = -36

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

Simplifying
x = 6

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