4(x+7)=9(x-11)

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Solution for 4(x+7)=9(x-11) equation:


Simplifying
4(x + 7) = 9(x + -11)

Reorder the terms:
4(7 + x) = 9(x + -11)
(7 * 4 + x * 4) = 9(x + -11)
(28 + 4x) = 9(x + -11)

Reorder the terms:
28 + 4x = 9(-11 + x)
28 + 4x = (-11 * 9 + x * 9)
28 + 4x = (-99 + 9x)

Solving
28 + 4x = -99 + 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.
28 + 4x + -9x = -99 + 9x + -9x

Combine like terms: 4x + -9x = -5x
28 + -5x = -99 + 9x + -9x

Combine like terms: 9x + -9x = 0
28 + -5x = -99 + 0
28 + -5x = -99

Add '-28' to each side of the equation.
28 + -28 + -5x = -99 + -28

Combine like terms: 28 + -28 = 0
0 + -5x = -99 + -28
-5x = -99 + -28

Combine like terms: -99 + -28 = -127
-5x = -127

Divide each side by '-5'.
x = 25.4

Simplifying
x = 25.4

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