4x+(7x-3)=9(x-5)

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Solution for 4x+(7x-3)=9(x-5) equation:


Simplifying
4x + (7x + -3) = 9(x + -5)

Reorder the terms:
4x + (-3 + 7x) = 9(x + -5)

Remove parenthesis around (-3 + 7x)
4x + -3 + 7x = 9(x + -5)

Reorder the terms:
-3 + 4x + 7x = 9(x + -5)

Combine like terms: 4x + 7x = 11x
-3 + 11x = 9(x + -5)

Reorder the terms:
-3 + 11x = 9(-5 + x)
-3 + 11x = (-5 * 9 + x * 9)
-3 + 11x = (-45 + 9x)

Solving
-3 + 11x = -45 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-3 + 11x + -9x = -45 + 9x + -9x

Combine like terms: 11x + -9x = 2x
-3 + 2x = -45 + 9x + -9x

Combine like terms: 9x + -9x = 0
-3 + 2x = -45 + 0
-3 + 2x = -45

Add '3' to each side of the equation.
-3 + 3 + 2x = -45 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = -45 + 3
2x = -45 + 3

Combine like terms: -45 + 3 = -42
2x = -42

Divide each side by '2'.
x = -21

Simplifying
x = -21

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