-14(x-2)-8=2(7x-3)-8

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Solution for -14(x-2)-8=2(7x-3)-8 equation:


Simplifying
-14(x + -2) + -8 = 2(7x + -3) + -8

Reorder the terms:
-14(-2 + x) + -8 = 2(7x + -3) + -8
(-2 * -14 + x * -14) + -8 = 2(7x + -3) + -8
(28 + -14x) + -8 = 2(7x + -3) + -8

Reorder the terms:
28 + -8 + -14x = 2(7x + -3) + -8

Combine like terms: 28 + -8 = 20
20 + -14x = 2(7x + -3) + -8

Reorder the terms:
20 + -14x = 2(-3 + 7x) + -8
20 + -14x = (-3 * 2 + 7x * 2) + -8
20 + -14x = (-6 + 14x) + -8

Reorder the terms:
20 + -14x = -6 + -8 + 14x

Combine like terms: -6 + -8 = -14
20 + -14x = -14 + 14x

Solving
20 + -14x = -14 + 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.
20 + -14x + -14x = -14 + 14x + -14x

Combine like terms: -14x + -14x = -28x
20 + -28x = -14 + 14x + -14x

Combine like terms: 14x + -14x = 0
20 + -28x = -14 + 0
20 + -28x = -14

Add '-20' to each side of the equation.
20 + -20 + -28x = -14 + -20

Combine like terms: 20 + -20 = 0
0 + -28x = -14 + -20
-28x = -14 + -20

Combine like terms: -14 + -20 = -34
-28x = -34

Divide each side by '-28'.
x = 1.214285714

Simplifying
x = 1.214285714

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