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

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


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

Reorder the terms:
2(-2 + 4x) + -5 = 6x + 4 + 2
(-2 * 2 + 4x * 2) + -5 = 6x + 4 + 2
(-4 + 8x) + -5 = 6x + 4 + 2

Reorder the terms:
-4 + -5 + 8x = 6x + 4 + 2

Combine like terms: -4 + -5 = -9
-9 + 8x = 6x + 4 + 2

Reorder the terms:
-9 + 8x = 4 + 2 + 6x

Combine like terms: 4 + 2 = 6
-9 + 8x = 6 + 6x

Solving
-9 + 8x = 6 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-9 + 8x + -6x = 6 + 6x + -6x

Combine like terms: 8x + -6x = 2x
-9 + 2x = 6 + 6x + -6x

Combine like terms: 6x + -6x = 0
-9 + 2x = 6 + 0
-9 + 2x = 6

Add '9' to each side of the equation.
-9 + 9 + 2x = 6 + 9

Combine like terms: -9 + 9 = 0
0 + 2x = 6 + 9
2x = 6 + 9

Combine like terms: 6 + 9 = 15
2x = 15

Divide each side by '2'.
x = 7.5

Simplifying
x = 7.5

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