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

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


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

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

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

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

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

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

Solving
25 + -3x = -7 + 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.
25 + -3x + -5x = -7 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
25 + -8x = -7 + 0
25 + -8x = -7

Add '-25' to each side of the equation.
25 + -25 + -8x = -7 + -25

Combine like terms: 25 + -25 = 0
0 + -8x = -7 + -25
-8x = -7 + -25

Combine like terms: -7 + -25 = -32
-8x = -32

Divide each side by '-8'.
x = 4

Simplifying
x = 4

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