2(x+9)=8(2x-40)

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Solution for 2(x+9)=8(2x-40) equation:


Simplifying
2(x + 9) = 8(2x + -40)

Reorder the terms:
2(9 + x) = 8(2x + -40)
(9 * 2 + x * 2) = 8(2x + -40)
(18 + 2x) = 8(2x + -40)

Reorder the terms:
18 + 2x = 8(-40 + 2x)
18 + 2x = (-40 * 8 + 2x * 8)
18 + 2x = (-320 + 16x)

Solving
18 + 2x = -320 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
18 + 2x + -16x = -320 + 16x + -16x

Combine like terms: 2x + -16x = -14x
18 + -14x = -320 + 16x + -16x

Combine like terms: 16x + -16x = 0
18 + -14x = -320 + 0
18 + -14x = -320

Add '-18' to each side of the equation.
18 + -18 + -14x = -320 + -18

Combine like terms: 18 + -18 = 0
0 + -14x = -320 + -18
-14x = -320 + -18

Combine like terms: -320 + -18 = -338
-14x = -338

Divide each side by '-14'.
x = 24.14285714

Simplifying
x = 24.14285714

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