4(x+9)=-7(2x-3)+9x

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Solution for 4(x+9)=-7(2x-3)+9x equation: 


Simplifying
4(x + 9) = -7(2x + -3) + 9x

Reorder the terms:
4(9 + x) = -7(2x + -3) + 9x
(9 * 4 + x * 4) = -7(2x + -3) + 9x
(36 + 4x) = -7(2x + -3) + 9x

Reorder the terms:
36 + 4x = -7(-3 + 2x) + 9x
36 + 4x = (-3 * -7 + 2x * -7) + 9x
36 + 4x = (21 + -14x) + 9x

Combine like terms: -14x + 9x = -5x
36 + 4x = 21 + -5x

Solving
36 + 4x = 21 + -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.
36 + 4x + 5x = 21 + -5x + 5x

Combine like terms: 4x + 5x = 9x
36 + 9x = 21 + -5x + 5x

Combine like terms: -5x + 5x = 0
36 + 9x = 21 + 0
36 + 9x = 21

Add '-36' to each side of the equation.
36 + -36 + 9x = 21 + -36

Combine like terms: 36 + -36 = 0
0 + 9x = 21 + -36
9x = 21 + -36

Combine like terms: 21 + -36 = -15
9x = -15

Divide each side by '9'.
x = -1.666666667

Simplifying
x = -1.666666667

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