7x-9=9(2x-8)+4x

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Solution for 7x-9=9(2x-8)+4x equation:


Simplifying
7x + -9 = 9(2x + -8) + 4x

Reorder the terms:
-9 + 7x = 9(2x + -8) + 4x

Reorder the terms:
-9 + 7x = 9(-8 + 2x) + 4x
-9 + 7x = (-8 * 9 + 2x * 9) + 4x
-9 + 7x = (-72 + 18x) + 4x

Combine like terms: 18x + 4x = 22x
-9 + 7x = -72 + 22x

Solving
-9 + 7x = -72 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
-9 + 7x + -22x = -72 + 22x + -22x

Combine like terms: 7x + -22x = -15x
-9 + -15x = -72 + 22x + -22x

Combine like terms: 22x + -22x = 0
-9 + -15x = -72 + 0
-9 + -15x = -72

Add '9' to each side of the equation.
-9 + 9 + -15x = -72 + 9

Combine like terms: -9 + 9 = 0
0 + -15x = -72 + 9
-15x = -72 + 9

Combine like terms: -72 + 9 = -63
-15x = -63

Divide each side by '-15'.
x = 4.2

Simplifying
x = 4.2

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