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

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


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

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

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

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

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

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

Combine like terms: -3x + -3x = -6x
-25 + -6x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-25 + -6x = -7 + 0
-25 + -6x = -7

Add '25' to each side of the equation.
-25 + 25 + -6x = -7 + 25

Combine like terms: -25 + 25 = 0
0 + -6x = -7 + 25
-6x = -7 + 25

Combine like terms: -7 + 25 = 18
-6x = 18

Divide each side by '-6'.
x = -3

Simplifying
x = -3

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