5(x-5)=2x-7

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


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

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

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

Solving
-25 + 5x = -7 + 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 + 5x + -2x = -7 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-25 + 3x = -7 + 0
-25 + 3x = -7

Add '25' to each side of the equation.
-25 + 25 + 3x = -7 + 25

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

Combine like terms: -7 + 25 = 18
3x = 18

Divide each side by '3'.
x = 6

Simplifying
x = 6

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