8(x-4)=14(x+2)

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Solution for 8(x-4)=14(x+2) equation:


Simplifying
8(x + -4) = 14(x + 2)

Reorder the terms:
8(-4 + x) = 14(x + 2)
(-4 * 8 + x * 8) = 14(x + 2)
(-32 + 8x) = 14(x + 2)

Reorder the terms:
-32 + 8x = 14(2 + x)
-32 + 8x = (2 * 14 + x * 14)
-32 + 8x = (28 + 14x)

Solving
-32 + 8x = 28 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-32 + 8x + -14x = 28 + 14x + -14x

Combine like terms: 8x + -14x = -6x
-32 + -6x = 28 + 14x + -14x

Combine like terms: 14x + -14x = 0
-32 + -6x = 28 + 0
-32 + -6x = 28

Add '32' to each side of the equation.
-32 + 32 + -6x = 28 + 32

Combine like terms: -32 + 32 = 0
0 + -6x = 28 + 32
-6x = 28 + 32

Combine like terms: 28 + 32 = 60
-6x = 60

Divide each side by '-6'.
x = -10

Simplifying
x = -10

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