2x-5+14x=6(6x-2)+3

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Solution for 2x-5+14x=6(6x-2)+3 equation:


Simplifying
2x + -5 + 14x = 6(6x + -2) + 3

Reorder the terms:
-5 + 2x + 14x = 6(6x + -2) + 3

Combine like terms: 2x + 14x = 16x
-5 + 16x = 6(6x + -2) + 3

Reorder the terms:
-5 + 16x = 6(-2 + 6x) + 3
-5 + 16x = (-2 * 6 + 6x * 6) + 3
-5 + 16x = (-12 + 36x) + 3

Reorder the terms:
-5 + 16x = -12 + 3 + 36x

Combine like terms: -12 + 3 = -9
-5 + 16x = -9 + 36x

Solving
-5 + 16x = -9 + 36x

Solving for variable 'x'.

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

Add '-36x' to each side of the equation.
-5 + 16x + -36x = -9 + 36x + -36x

Combine like terms: 16x + -36x = -20x
-5 + -20x = -9 + 36x + -36x

Combine like terms: 36x + -36x = 0
-5 + -20x = -9 + 0
-5 + -20x = -9

Add '5' to each side of the equation.
-5 + 5 + -20x = -9 + 5

Combine like terms: -5 + 5 = 0
0 + -20x = -9 + 5
-20x = -9 + 5

Combine like terms: -9 + 5 = -4
-20x = -4

Divide each side by '-20'.
x = 0.2

Simplifying
x = 0.2

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