4(x+7)=9(x+1)+22

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Solution for 4(x+7)=9(x+1)+22 equation:


Simplifying
4(x + 7) = 9(x + 1) + 22

Reorder the terms:
4(7 + x) = 9(x + 1) + 22
(7 * 4 + x * 4) = 9(x + 1) + 22
(28 + 4x) = 9(x + 1) + 22

Reorder the terms:
28 + 4x = 9(1 + x) + 22
28 + 4x = (1 * 9 + x * 9) + 22
28 + 4x = (9 + 9x) + 22

Reorder the terms:
28 + 4x = 9 + 22 + 9x

Combine like terms: 9 + 22 = 31
28 + 4x = 31 + 9x

Solving
28 + 4x = 31 + 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 = 31 + 9x + -9x

Combine like terms: 4x + -9x = -5x
28 + -5x = 31 + 9x + -9x

Combine like terms: 9x + -9x = 0
28 + -5x = 31 + 0
28 + -5x = 31

Add '-28' to each side of the equation.
28 + -28 + -5x = 31 + -28

Combine like terms: 28 + -28 = 0
0 + -5x = 31 + -28
-5x = 31 + -28

Combine like terms: 31 + -28 = 3
-5x = 3

Divide each side by '-5'.
x = -0.6

Simplifying
x = -0.6

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