7(x-7)+18=5(x-5)

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Solution for 7(x-7)+18=5(x-5) equation:


Simplifying
7(x + -7) + 18 = 5(x + -5)

Reorder the terms:
7(-7 + x) + 18 = 5(x + -5)
(-7 * 7 + x * 7) + 18 = 5(x + -5)
(-49 + 7x) + 18 = 5(x + -5)

Reorder the terms:
-49 + 18 + 7x = 5(x + -5)

Combine like terms: -49 + 18 = -31
-31 + 7x = 5(x + -5)

Reorder the terms:
-31 + 7x = 5(-5 + x)
-31 + 7x = (-5 * 5 + x * 5)
-31 + 7x = (-25 + 5x)

Solving
-31 + 7x = -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.
-31 + 7x + -5x = -25 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-31 + 2x = -25 + 5x + -5x

Combine like terms: 5x + -5x = 0
-31 + 2x = -25 + 0
-31 + 2x = -25

Add '31' to each side of the equation.
-31 + 31 + 2x = -25 + 31

Combine like terms: -31 + 31 = 0
0 + 2x = -25 + 31
2x = -25 + 31

Combine like terms: -25 + 31 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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