8(x-1)=-22(x-41)

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Solution for 8(x-1)=-22(x-41) equation:


Simplifying
8(x + -1) = -22(x + -41)

Reorder the terms:
8(-1 + x) = -22(x + -41)
(-1 * 8 + x * 8) = -22(x + -41)
(-8 + 8x) = -22(x + -41)

Reorder the terms:
-8 + 8x = -22(-41 + x)
-8 + 8x = (-41 * -22 + x * -22)
-8 + 8x = (902 + -22x)

Solving
-8 + 8x = 902 + -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.
-8 + 8x + 22x = 902 + -22x + 22x

Combine like terms: 8x + 22x = 30x
-8 + 30x = 902 + -22x + 22x

Combine like terms: -22x + 22x = 0
-8 + 30x = 902 + 0
-8 + 30x = 902

Add '8' to each side of the equation.
-8 + 8 + 30x = 902 + 8

Combine like terms: -8 + 8 = 0
0 + 30x = 902 + 8
30x = 902 + 8

Combine like terms: 902 + 8 = 910
30x = 910

Divide each side by '30'.
x = 30.33333333

Simplifying
x = 30.33333333

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