8(x-4)-8=22x-208

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Solution for 8(x-4)-8=22x-208 equation:


Simplifying
8(x + -4) + -8 = 22x + -208

Reorder the terms:
8(-4 + x) + -8 = 22x + -208
(-4 * 8 + x * 8) + -8 = 22x + -208
(-32 + 8x) + -8 = 22x + -208

Reorder the terms:
-32 + -8 + 8x = 22x + -208

Combine like terms: -32 + -8 = -40
-40 + 8x = 22x + -208

Reorder the terms:
-40 + 8x = -208 + 22x

Solving
-40 + 8x = -208 + 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.
-40 + 8x + -22x = -208 + 22x + -22x

Combine like terms: 8x + -22x = -14x
-40 + -14x = -208 + 22x + -22x

Combine like terms: 22x + -22x = 0
-40 + -14x = -208 + 0
-40 + -14x = -208

Add '40' to each side of the equation.
-40 + 40 + -14x = -208 + 40

Combine like terms: -40 + 40 = 0
0 + -14x = -208 + 40
-14x = -208 + 40

Combine like terms: -208 + 40 = -168
-14x = -168

Divide each side by '-14'.
x = 12

Simplifying
x = 12

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