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

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


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

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

Reorder the terms:
-18 + 9x = 4(7 + x)
-18 + 9x = (7 * 4 + x * 4)
-18 + 9x = (28 + 4x)

Solving
-18 + 9x = 28 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-18 + 9x + -4x = 28 + 4x + -4x

Combine like terms: 9x + -4x = 5x
-18 + 5x = 28 + 4x + -4x

Combine like terms: 4x + -4x = 0
-18 + 5x = 28 + 0
-18 + 5x = 28

Add '18' to each side of the equation.
-18 + 18 + 5x = 28 + 18

Combine like terms: -18 + 18 = 0
0 + 5x = 28 + 18
5x = 28 + 18

Combine like terms: 28 + 18 = 46
5x = 46

Divide each side by '5'.
x = 9.2

Simplifying
x = 9.2

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