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

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


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

Reorder the terms:
7x + 5(-3 + x) = 5(x + -5)
7x + (-3 * 5 + x * 5) = 5(x + -5)
7x + (-15 + 5x) = 5(x + -5)

Reorder the terms:
-15 + 7x + 5x = 5(x + -5)

Combine like terms: 7x + 5x = 12x
-15 + 12x = 5(x + -5)

Reorder the terms:
-15 + 12x = 5(-5 + x)
-15 + 12x = (-5 * 5 + x * 5)
-15 + 12x = (-25 + 5x)

Solving
-15 + 12x = -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.
-15 + 12x + -5x = -25 + 5x + -5x

Combine like terms: 12x + -5x = 7x
-15 + 7x = -25 + 5x + -5x

Combine like terms: 5x + -5x = 0
-15 + 7x = -25 + 0
-15 + 7x = -25

Add '15' to each side of the equation.
-15 + 15 + 7x = -25 + 15

Combine like terms: -15 + 15 = 0
0 + 7x = -25 + 15
7x = -25 + 15

Combine like terms: -25 + 15 = -10
7x = -10

Divide each side by '7'.
x = -1.428571429

Simplifying
x = -1.428571429

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