8(x-5)=14x-2

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Solution for 8(x-5)=14x-2 equation:


Simplifying
8(x + -5) = 14x + -2

Reorder the terms:
8(-5 + x) = 14x + -2
(-5 * 8 + x * 8) = 14x + -2
(-40 + 8x) = 14x + -2

Reorder the terms:
-40 + 8x = -2 + 14x

Solving
-40 + 8x = -2 + 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.
-40 + 8x + -14x = -2 + 14x + -14x

Combine like terms: 8x + -14x = -6x
-40 + -6x = -2 + 14x + -14x

Combine like terms: 14x + -14x = 0
-40 + -6x = -2 + 0
-40 + -6x = -2

Add '40' to each side of the equation.
-40 + 40 + -6x = -2 + 40

Combine like terms: -40 + 40 = 0
0 + -6x = -2 + 40
-6x = -2 + 40

Combine like terms: -2 + 40 = 38
-6x = 38

Divide each side by '-6'.
x = -6.333333333

Simplifying
x = -6.333333333

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