2(4x-6)=5x+8-x

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Solution for 2(4x-6)=5x+8-x equation:


Simplifying
2(4x + -6) = 5x + 8 + -1x

Reorder the terms:
2(-6 + 4x) = 5x + 8 + -1x
(-6 * 2 + 4x * 2) = 5x + 8 + -1x
(-12 + 8x) = 5x + 8 + -1x

Reorder the terms:
-12 + 8x = 8 + 5x + -1x

Combine like terms: 5x + -1x = 4x
-12 + 8x = 8 + 4x

Solving
-12 + 8x = 8 + 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.
-12 + 8x + -4x = 8 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-12 + 4x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-12 + 4x = 8 + 0
-12 + 4x = 8

Add '12' to each side of the equation.
-12 + 12 + 4x = 8 + 12

Combine like terms: -12 + 12 = 0
0 + 4x = 8 + 12
4x = 8 + 12

Combine like terms: 8 + 12 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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