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

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


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

Reorder the terms:
5(-7 + 2x) + -5 = 5(x + -5)
(-7 * 5 + 2x * 5) + -5 = 5(x + -5)
(-35 + 10x) + -5 = 5(x + -5)

Reorder the terms:
-35 + -5 + 10x = 5(x + -5)

Combine like terms: -35 + -5 = -40
-40 + 10x = 5(x + -5)

Reorder the terms:
-40 + 10x = 5(-5 + x)
-40 + 10x = (-5 * 5 + x * 5)
-40 + 10x = (-25 + 5x)

Solving
-40 + 10x = -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.
-40 + 10x + -5x = -25 + 5x + -5x

Combine like terms: 10x + -5x = 5x
-40 + 5x = -25 + 5x + -5x

Combine like terms: 5x + -5x = 0
-40 + 5x = -25 + 0
-40 + 5x = -25

Add '40' to each side of the equation.
-40 + 40 + 5x = -25 + 40

Combine like terms: -40 + 40 = 0
0 + 5x = -25 + 40
5x = -25 + 40

Combine like terms: -25 + 40 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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