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

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


Simplifying
4(9 + x) = 3(3x + -7)
(9 * 4 + x * 4) = 3(3x + -7)
(36 + 4x) = 3(3x + -7)

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

Solving
36 + 4x = -21 + 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.
36 + 4x + -9x = -21 + 9x + -9x

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

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

Add '-36' to each side of the equation.
36 + -36 + -5x = -21 + -36

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

Combine like terms: -21 + -36 = -57
-5x = -57

Divide each side by '-5'.
x = 11.4

Simplifying
x = 11.4

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