4(x-4)-9=22x-151

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Solution for 4(x-4)-9=22x-151 equation:


Simplifying
4(x + -4) + -9 = 22x + -151

Reorder the terms:
4(-4 + x) + -9 = 22x + -151
(-4 * 4 + x * 4) + -9 = 22x + -151
(-16 + 4x) + -9 = 22x + -151

Reorder the terms:
-16 + -9 + 4x = 22x + -151

Combine like terms: -16 + -9 = -25
-25 + 4x = 22x + -151

Reorder the terms:
-25 + 4x = -151 + 22x

Solving
-25 + 4x = -151 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
-25 + 4x + -22x = -151 + 22x + -22x

Combine like terms: 4x + -22x = -18x
-25 + -18x = -151 + 22x + -22x

Combine like terms: 22x + -22x = 0
-25 + -18x = -151 + 0
-25 + -18x = -151

Add '25' to each side of the equation.
-25 + 25 + -18x = -151 + 25

Combine like terms: -25 + 25 = 0
0 + -18x = -151 + 25
-18x = -151 + 25

Combine like terms: -151 + 25 = -126
-18x = -126

Divide each side by '-18'.
x = 7

Simplifying
x = 7

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