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

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


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

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

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

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

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

Combine like terms: -3 + -7 = -10
25 + -3x = -10 + 4x

Solving
25 + -3x = -10 + 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 + -3x + -4x = -10 + 4x + -4x

Combine like terms: -3x + -4x = -7x
25 + -7x = -10 + 4x + -4x

Combine like terms: 4x + -4x = 0
25 + -7x = -10 + 0
25 + -7x = -10

Add '-25' to each side of the equation.
25 + -25 + -7x = -10 + -25

Combine like terms: 25 + -25 = 0
0 + -7x = -10 + -25
-7x = -10 + -25

Combine like terms: -10 + -25 = -35
-7x = -35

Divide each side by '-7'.
x = 5

Simplifying
x = 5

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