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

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


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

Reorder the terms:
5(-5 + 3x) + -6x = 7x + -7
(-5 * 5 + 3x * 5) + -6x = 7x + -7
(-25 + 15x) + -6x = 7x + -7

Combine like terms: 15x + -6x = 9x
-25 + 9x = 7x + -7

Reorder the terms:
-25 + 9x = -7 + 7x

Solving
-25 + 9x = -7 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
-25 + 9x + -7x = -7 + 7x + -7x

Combine like terms: 9x + -7x = 2x
-25 + 2x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
-25 + 2x = -7 + 0
-25 + 2x = -7

Add '25' to each side of the equation.
-25 + 25 + 2x = -7 + 25

Combine like terms: -25 + 25 = 0
0 + 2x = -7 + 25
2x = -7 + 25

Combine like terms: -7 + 25 = 18
2x = 18

Divide each side by '2'.
x = 9

Simplifying
x = 9

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