6-3(x-5)+x=5(x-7)

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Solution for 6-3(x-5)+x=5(x-7) equation:


Simplifying
6 + -3(x + -5) + x = 5(x + -7)

Reorder the terms:
6 + -3(-5 + x) + x = 5(x + -7)
6 + (-5 * -3 + x * -3) + x = 5(x + -7)
6 + (15 + -3x) + x = 5(x + -7)

Combine like terms: 6 + 15 = 21
21 + -3x + x = 5(x + -7)

Combine like terms: -3x + x = -2x
21 + -2x = 5(x + -7)

Reorder the terms:
21 + -2x = 5(-7 + x)
21 + -2x = (-7 * 5 + x * 5)
21 + -2x = (-35 + 5x)

Solving
21 + -2x = -35 + 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.
21 + -2x + -5x = -35 + 5x + -5x

Combine like terms: -2x + -5x = -7x
21 + -7x = -35 + 5x + -5x

Combine like terms: 5x + -5x = 0
21 + -7x = -35 + 0
21 + -7x = -35

Add '-21' to each side of the equation.
21 + -21 + -7x = -35 + -21

Combine like terms: 21 + -21 = 0
0 + -7x = -35 + -21
-7x = -35 + -21

Combine like terms: -35 + -21 = -56
-7x = -56

Divide each side by '-7'.
x = 8

Simplifying
x = 8

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