8x-2(x-5)=14x+30

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Solution for 8x-2(x-5)=14x+30 equation:


Simplifying
8x + -2(x + -5) = 14x + 30

Reorder the terms:
8x + -2(-5 + x) = 14x + 30
8x + (-5 * -2 + x * -2) = 14x + 30
8x + (10 + -2x) = 14x + 30

Reorder the terms:
10 + 8x + -2x = 14x + 30

Combine like terms: 8x + -2x = 6x
10 + 6x = 14x + 30

Reorder the terms:
10 + 6x = 30 + 14x

Solving
10 + 6x = 30 + 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.
10 + 6x + -14x = 30 + 14x + -14x

Combine like terms: 6x + -14x = -8x
10 + -8x = 30 + 14x + -14x

Combine like terms: 14x + -14x = 0
10 + -8x = 30 + 0
10 + -8x = 30

Add '-10' to each side of the equation.
10 + -10 + -8x = 30 + -10

Combine like terms: 10 + -10 = 0
0 + -8x = 30 + -10
-8x = 30 + -10

Combine like terms: 30 + -10 = 20
-8x = 20

Divide each side by '-8'.
x = -2.5

Simplifying
x = -2.5

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