14-6x-8=2(2x-3)+3

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Solution for 14-6x-8=2(2x-3)+3 equation:


Simplifying
14 + -6x + -8 = 2(2x + -3) + 3

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

Combine like terms: 14 + -8 = 6
6 + -6x = 2(2x + -3) + 3

Reorder the terms:
6 + -6x = 2(-3 + 2x) + 3
6 + -6x = (-3 * 2 + 2x * 2) + 3
6 + -6x = (-6 + 4x) + 3

Reorder the terms:
6 + -6x = -6 + 3 + 4x

Combine like terms: -6 + 3 = -3
6 + -6x = -3 + 4x

Solving
6 + -6x = -3 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6 + -6x + -4x = -3 + 4x + -4x

Combine like terms: -6x + -4x = -10x
6 + -10x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -10x = -3 + 0
6 + -10x = -3

Add '-6' to each side of the equation.
6 + -6 + -10x = -3 + -6

Combine like terms: 6 + -6 = 0
0 + -10x = -3 + -6
-10x = -3 + -6

Combine like terms: -3 + -6 = -9
-10x = -9

Divide each side by '-10'.
x = 0.9

Simplifying
x = 0.9

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