4x-6+6x=5(4x-2)+2

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Solution for 4x-6+6x=5(4x-2)+2 equation:


Simplifying
4x + -6 + 6x = 5(4x + -2) + 2

Reorder the terms:
-6 + 4x + 6x = 5(4x + -2) + 2

Combine like terms: 4x + 6x = 10x
-6 + 10x = 5(4x + -2) + 2

Reorder the terms:
-6 + 10x = 5(-2 + 4x) + 2
-6 + 10x = (-2 * 5 + 4x * 5) + 2
-6 + 10x = (-10 + 20x) + 2

Reorder the terms:
-6 + 10x = -10 + 2 + 20x

Combine like terms: -10 + 2 = -8
-6 + 10x = -8 + 20x

Solving
-6 + 10x = -8 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-6 + 10x + -20x = -8 + 20x + -20x

Combine like terms: 10x + -20x = -10x
-6 + -10x = -8 + 20x + -20x

Combine like terms: 20x + -20x = 0
-6 + -10x = -8 + 0
-6 + -10x = -8

Add '6' to each side of the equation.
-6 + 6 + -10x = -8 + 6

Combine like terms: -6 + 6 = 0
0 + -10x = -8 + 6
-10x = -8 + 6

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

Divide each side by '-10'.
x = 0.2

Simplifying
x = 0.2

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