16(x-16)=35-(6x-71)

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Solution for 16(x-16)=35-(6x-71) equation:


Simplifying
16(x + -16) = 35 + -1(6x + -71)

Reorder the terms:
16(-16 + x) = 35 + -1(6x + -71)
(-16 * 16 + x * 16) = 35 + -1(6x + -71)
(-256 + 16x) = 35 + -1(6x + -71)

Reorder the terms:
-256 + 16x = 35 + -1(-71 + 6x)
-256 + 16x = 35 + (-71 * -1 + 6x * -1)
-256 + 16x = 35 + (71 + -6x)

Combine like terms: 35 + 71 = 106
-256 + 16x = 106 + -6x

Solving
-256 + 16x = 106 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-256 + 16x + 6x = 106 + -6x + 6x

Combine like terms: 16x + 6x = 22x
-256 + 22x = 106 + -6x + 6x

Combine like terms: -6x + 6x = 0
-256 + 22x = 106 + 0
-256 + 22x = 106

Add '256' to each side of the equation.
-256 + 256 + 22x = 106 + 256

Combine like terms: -256 + 256 = 0
0 + 22x = 106 + 256
22x = 106 + 256

Combine like terms: 106 + 256 = 362
22x = 362

Divide each side by '22'.
x = 16.45454545

Simplifying
x = 16.45454545

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