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

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


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

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

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

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

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

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

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

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

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

Divide each side by '8'.
x = 4

Simplifying
x = 4

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