2x-40=8(x-2)

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


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

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

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

Solving
-40 + 2x = -16 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-40 + 2x + -8x = -16 + 8x + -8x

Combine like terms: 2x + -8x = -6x
-40 + -6x = -16 + 8x + -8x

Combine like terms: 8x + -8x = 0
-40 + -6x = -16 + 0
-40 + -6x = -16

Add '40' to each side of the equation.
-40 + 40 + -6x = -16 + 40

Combine like terms: -40 + 40 = 0
0 + -6x = -16 + 40
-6x = -16 + 40

Combine like terms: -16 + 40 = 24
-6x = 24

Divide each side by '-6'.
x = -4

Simplifying
x = -4

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