16(x-278)=6(x-8)

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Solution for 16(x-278)=6(x-8) equation:


Simplifying
16(x + -278) = 6(x + -8)

Reorder the terms:
16(-278 + x) = 6(x + -8)
(-278 * 16 + x * 16) = 6(x + -8)
(-4448 + 16x) = 6(x + -8)

Reorder the terms:
-4448 + 16x = 6(-8 + x)
-4448 + 16x = (-8 * 6 + x * 6)
-4448 + 16x = (-48 + 6x)

Solving
-4448 + 16x = -48 + 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.
-4448 + 16x + -6x = -48 + 6x + -6x

Combine like terms: 16x + -6x = 10x
-4448 + 10x = -48 + 6x + -6x

Combine like terms: 6x + -6x = 0
-4448 + 10x = -48 + 0
-4448 + 10x = -48

Add '4448' to each side of the equation.
-4448 + 4448 + 10x = -48 + 4448

Combine like terms: -4448 + 4448 = 0
0 + 10x = -48 + 4448
10x = -48 + 4448

Combine like terms: -48 + 4448 = 4400
10x = 4400

Divide each side by '10'.
x = 440

Simplifying
x = 440

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