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 = 13
-28 + 4x = 13 + 9x

Solving
-28 + 4x = 13 + 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 = 13 + 9x + -9x

Combine like terms: 4x + -9x = -5x
-28 + -5x = 13 + 9x + -9x

Combine like terms: 9x + -9x = 0
-28 + -5x = 13 + 0
-28 + -5x = 13

Add '28' to each side of the equation.
-28 + 28 + -5x = 13 + 28

Combine like terms: -28 + 28 = 0
0 + -5x = 13 + 28
-5x = 13 + 28

Combine like terms: 13 + 28 = 41
-5x = 41

Divide each side by '-5'.
x = -8.2

Simplifying
x = -8.2

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